This has come up before. So first of all as has been said before most radfem groups on facebook are about little more than the personal views of those on it. They dont speak for anyone else. And some of them are fairly toxic.
RadFem did not exist 30 years ago. Current Rad Fem has far more to do with what was called Revolutionary Feminism. The difference between that and Radical Feminism is that Rev Fems were anti men, Radical Feminists were pro women.
So for this reason in the past Radical Feminists would often have an additional label eg Radical Feminist Socialist, or Radical Feminist Lesbian, or even Radical Feminist Lesbian Separatist.
And as one answer to your question about there were even Radical Feminist Celibates.
Polical lesbianism was as much about heterosexual women being prepared to challenge heterosexual men's assumption that all women were sexually available to them. So wearing a badge saying Lesbian was telling men dont make assumptions.
Radical feminism is about your feminist practice. ie what do you actually do that reinforces your feminism.
You are just as much a radical feminist if you join or support a local group of young mums and help them say campaigning against council cuts, or probably more so than anyone sitting on facebook standing of a soapbox.
If what unites you is what you have in commons with other women than you are a radical feminist. Being against men doesn't necessarily make you a feminist, and is some cases makes you a lesbian chauvanist!
And before anyone jumps in and says I am wrong I am basing it on having been a radical feminist lesbian separatist for over 40 years ie it is my lived experience not the posturing of keyboard feminism.