This depends on one's ability to apply intellect and whether anyone who analyzes anything, feminism or not, has enough intellectual capacity to do research and understand the core idea + many little things involved with it or if one focuses on the definition and doesn't have the brain power to understand what it means. What I mean is feminism is a part of a much bigger idea: equality and human rights. Similarly, anti-ageism movements, anti-racism movements, particularly groups like Black Lives Matter & other numerous anti-racism groups, all can be summed by one idea: human rights and equality. Most educated and intelligent people can absolutely see how feminism challenges discrimination against women and how it also benefits men in many aspects. For example, going back to the topic of this article, feminism not only encourages women to build income sources thanks to careers and jobs but also to take care of their partners, not only themselves. 30-50 years ago, it was unusual for men to receive financial support from their wives. Men were expected to fully take care of everything financially, even if they were tired, overworked, burnt out, etc. Nowadays, most women would happily take care of their husbands if they need to take time off, relax, go back to school, etc. I mean, I think the idea of being independent and able to take care of yourself, as well as support your spouse in times of need, should be common sense, but sadly, we needed feminism to be created so that people could understand this. And there are many other benefits that feminism brought to society, such as women leaving abusive spouses, women having higher standards and not settling down, women talking about toxic masculinity and encouraging men to let go of sexist stereotypes that are holding them back; similarly, these are the standards men should ideally abide too, because abuse can absolutely come from women too, and men shouldn't settle down either.
But yeah, overall, I think that mentioning feminism while dealing with a potential male partner is a good idea for a woman because it's easy to identify if a man in front of you is intelligent and understands what feminism really means and stands for; or if he's an uneducated person who doesn't have the capacity to understand that feminism means and does. This is very similar to how some low-bandwidth folks kicked and screamed when the "Defund police" movement came out, yelling that getting rid of police is dumb. At the same time, smart people did research and learned that even though the idea has a term "defund", once you use your brain a little bit and bother to at least google it, you learn that it's about redirecting resources, not literally defunding the police. So, while I agree with you that "feminism" isn't the best term and isn't idiot-proof, just like the "defund the police" movement, it's an excellent way to trigger people with subpar intelligence level, which allows everyone with a brain to see whom they should avoid.
As for education, the idea is about removing barriers for a group of people. Similarly, there are grants and support for other protected classes. Now, if you believe that women shouldn't be a protected class, that's a different story. But sadly, since most countries want their population not to go extinct and men are incapable of producing children, I'm afraid women may stay as a protected class for a while. Now, if the government says, "we don't need more people or children, let the nation reduce itself", AND if men can start having kids on their own (obviously, I don't mean giving birth... but artificial wombs are getting developed, apparently?), then we should certainly take away a "protected class" and "vulnerable group" labels from women.