I think you are right that it will fix almost everything, but it would not solve the problems of most men on this forum. I believe most users on this forum struggle connecting with women and that's the main issue.
I'd say I'm in top 1% shape for men my age (been a natural bodybuilder since my 20s, not competed but it's a serious hobby of mine). I am familiar with the eye-f*cking you mentioned. Also improved self-esteem etc. However, it has not solved my dating problems. In fact, I struggle more now than I did in my younger years when I was not in such a good shape.
I also have plenty of wealth and professional success, again probably at the top 1% of men my age. Yet, my dating life is non-existent (I get sex from escorts, but that's a different story).
I don't have self-esteem issues. The reason for my relative poor success with women comes down to one thing: I lack connection with women - that is, I don't meet them in right circumstances, I have poor game, and OLD is a hopeless venue. I suspect this is the root cause of most men's dating problems.
In any case, getting in shape is an excellent idea for all men, and I recommend it for everyone as you did.