This is a great thread, and very helpful for me personally.
No style as fading into the woodwork, not attracting negative attention, getting in and out of the grocery store without a lot of hassle etc. is not always easy for everyone but it's kind of an embarrassing question to ask directly. I've gotten a lot of helpful information on specific items to look for.
No style as in looking unattractive, wearing clothes that don't suit your body type or are inappropriate for your surroundings etc. is also embarrassing, but something that, ime, can be addressed, and that people tend to respect a person for at least trying to correct.
No style as in no preference don't care is something I simply can't seem to achieve! When I've directly asked for advice on "fading into the woodwork" I've found it necessary to make the effort to be appropriately polite even when I'm inwardly groaning, "But I HATE those jeans that make your butt look too fat!", "But you say hippie like it's a bad thing!" etc.
It may not be advantageous or expedient to act upon our clothing preferences, but we can't change the fact that all of us do have them.
I think all of us care to some extent even when other things have to take priority, such as our jobs, not hurting MIL's feelings, not wanting people to point at us and laugh, avoiding physical discomfort, etc.