Of course it it is appropriate for men to be cognizant of it!
I would argue that it matters very much whether it is rational or irrational. If you let irrational fears govern your life then you shouldn’t really be dating, should you? You should probably be in therapy instead of trying to shame good men into changing their behavior for something they haven’t done wrong.
Most of the actions a man can take land him squarely in a co-dependant stance, unfortunately.