Just to provide another "shade" to this conversati
and hopefully this goes without saying, but "spotted" towels are definitely low drama as compared to having to deal with acne. I had a bad case of it and was in my 20s before I finally got rid of it. I still have very oily skin, but that can be dealt with, and is probably part of why I look 30 at nearly 48.
Benzoyl Peroxide helps used with care, but it is powerful stuff, and yes it burns your skin just as well if not "better" than it wreaks havoc on clothing and linens. You can look a bit like a bad horror flick until you get through trial and error with it. You can also overdo it with Stridex pads and other alcohol based cleansers far as burning your skin, though I'm not sure if Stridex is even made anymore. Neutrogena soap, which I still use, and Noxzema are good cleansers and don't irritate skin, at least for me.
I can be retentive about all things household with the best of them, as many who know me can attest, but do try, for the sake of your loved ones to keep it in perspective. Acne really sucks.
One suggestion might be to keep some white linens for the affected person's use, and maybe some color for your own use or for decorating purposes. I use the cheapie wash cloths you can buy for like $2 a dozen, and if they get too tired you can just toss 'em, but they actually hold up quite well.
I was fortunate in that I don't remember damaging any clothes, probably just dumb luck. I do remember warnings on the packaging. No sheet/pillowcase damage either. I don't use colored any of that stuff now but did back then.
On a similar subject, I wear....very little and only white when cleaning the bathroom. The bleach in Lysol bathroom cleaner, among other things, also does a number on colored clothes, so be careful.