Some women can get vaginal infections, both men and women can get urinary tract infections and irritation when they use glycerin internally. (Meaning vaginally or on the penis.) I can't use a lube with glycerin, but I can use wipes that have some glycerin in them, and can certainly use glycerin soap, but some people are even more sensitive and can't even use these.
As for Arginine, it is an amino acid believed to direct blood to the genitals and cause more genital engorgement. Some people feel pain and irritation from Arginine, and those with any type of Herpes Simplex (from cold sores, to genital herpes to whitlow on the fingers) may find an outbreak triggered from unopposed Arginine in their systems or on their bodies.
Lysine is the amino acid that "opposes" arginine, so some people will take that along with Arginine containing products, but it doesn't always work to head off outbreaks or irritation.
Arginine is also sometimes obtained from tree nuts, so some people are sensitive to it because of that.
Petro chemical, or chemicals made from fuel oil, like Petroleum, or Vaseline may not be shed properly by the self cleaning mechanisms of the vagina, so most women will not use a petro chemical based lubricant. There are some men's jerk off lubes which are oil based (The Original Gun Oil being formerly the most famous, which is targeted at mostly gay men) but even some gay men will not even use this when receiving anal sex.
Boy Butter is made with cocoanut oil, but is still targeted at men.