Blink, I think because you were never exposed to it, it seems like a weird thing. The more you are exposed to it, the less "weird" it will seem. And babies need to eat so frequently, and many babies simply CAN'T take "bottles" that breastfeeding "in public" is simply necessary.
Being a Lactation Nurse, my job is to help Moms and babies work this whole breastfeeding thing out. The thing is most babies, especially in the beginning, cannot just "take a bottle" while Mom is out because Nipple Confusion will screw up their ability to suckle properly. And the Mom's supply gets wonky, if she pumps too early, instead of feeding then DOESN'T feed when the baby is needing it.
Basically, for the first year or so, for breastfeeding to work, the baby has to get the Booby, when ever and where ever they NEED it. A Baby's wants and needs are the same thing, so if they "ask" to nurse, they NEED to nurse. And, when they are hungry, they can not wait. Hunger is physically painful for babies. Then, if you count in Nipple Confusion in my practice I see this as the Number One thing that fucks up breastfeeding. Most babies CANNOT learn to breastfeed if there are bottles in the picture, the sucking on the bottle and SUCKLING from the breast are to TOTALLY different physiological activities, and when the baby is learning to breastfeed (basically at least the first 8 to 12 weeks, minimum) if they get a bottle SOME (most) babies will have trouble the next time they nurse and some will even refuse to nurse. SO, to prevent nipple confusion, many Moms decide "no bottles" to keep breastfeeding up and going. There are some kids who can go back and forth, but it is more common for the bottles to mess up any progress for at least the first 12 weeks.
I know my oldest got terrible Nipple Confusion. They gave her a bottle before I even got a chance to feed her, and after that, she would scream every time she looked at my breast, the freaking nurses in the hospital (not listening to me) gave her bottles while I was sleeping, instead of waking me up, and it took me FOUR months to teach her to breastfeed properly I was NOT an LC then. It should NOT take this long, but I had no one to help me, but a few nice La Leche league Leaders, (There were few Lactation Consultants when I had my oldest baby) they were great, but I had to fix the Nipple Confusion myself. I worked on it for months, feeding her when she was nearly sleeping, walking while nursing, so she wouldn't "notice" feeding her with a cup or an eyedropper, and sometimes she would still refuse to nurse for a day or so at a time. I just keep working at it. Actually, when My Man finally took ALL the bottles (which I was still using at least once a day, while "trying" to teach this confused baby how to breastfeed, and every time she got a bottle it would screw up again) and put them in a garbage bag and put them on the curb! THEN we got it going No bottles, we fixed it. Baptism by fire. It worked.
Also, like many women I HATE pumping. I've done it when I have to (like when I was going to have to work a few hours (which is all I would do with babies, or see clients) but I REFUSE to get that damn pump out every time I leave the house for more than 2 hours. My breasts are right there, my baby is right there, the milk is actually best right from the breast, so I ALWAYS breastfed in public. Every kid, anywhere.
I figure, if ONE person saw me nursing (and I was discreet) and thought, "Oh, that isn't too bad, at least that baby isn't crying and ruining my dinner." then I was not only just feeding my kid, and emptying my breasts (which would hurt, if my baby was crying and I wasn't nursing her, but giving even pumped milk in a bottle) but I was also teaching people and normalizing a NORMAL thing to do with babies.
When I used to see clients and had to be away, My Man would feed the baby with a little cup. Even newborns can do this, I've fed pre-term babies with cups (so they could have milk, while their mom's worked on THEIR Nipple Confusion and not keep using bottles) My Man would be left with some of my milk and a little feeding cup (it looks like a medicine cup) and he would take a Jack Daniel's shot glass, put the milk in there, and feed the baby my milk that way. If he can cup feed, with his Ham Hands ANYBODY can.
So, after the Nightmare breastfeeding with Nipple Confusion and colic with my oldest one, I NEVER had a bottle in the house, ever again. None of my kids knew what a bottle was, they only had ME or the Jack Daniels shot glass with my milk in it, My Man would give them, when I had to see clients.
This worked for us, and I see it work for my clients. Mileage may vary, but if you get a baby who is susceptible to Nipple Confusion, every bottle will just add to the problem. And you don't know if you have one of the 80% to 90% of babies who WILL get Nipple Confusion in the first 12 weeks, UNTIL you give that first bottle. So, in our house, we simply didn't use them at all, after being whacked with a major case of all night screaming, depressed Mama (I couldn't give birth vaginally, even after a 54 hour labor and 3 and half hrs of pushing, so I figured, "If I can't do this breastfeeding thing.....") So, for me, it was a "MUST DO." and Nipple Confused Baby, we said "Never again" and the babies then rarely left my side, but if they did, they were fed without bottles. Many woman simply don't want to give bottles OR can't (I always say, "I failed as a bottle feeder.") so, as a baby's stomach can empty of human milk in as little as 20 minutes after a full feed, due to it's digestibility (or as long as 3 hours) if Mom wants to EVER leave the house, she HAS TO "breastfeed in public."
When I see a Mom nursing in public, I usually give her a thumbs up and a smile. I know there are cases when breastfeeding doesn't work out, so I always give new Moms with babies a smile, no matter HOW they are feeding, though. I don't know their situation, it isn't my business, and I LOVE babies and new moms, so it's all making me happy.
That's my take on it.