I think nonbinary people are the most likely to be attracted to many genders.
And women are more likely to be attracted to many genders.
Men are more likely to be attracted to just men (and perhaps nonbinary people) or to just women (and perhaps nonbinary people)
But I think this is due to social conditioning more than something like biological predisposition. Social attitudes on men and masculinity are not very encouraging of same-sex attraction, it's very common for men to get lumped into "gay" or straight". Whereas I think women and non-binary people are more often encouraged to explore queer sexuality or even expected to (well, I suppose gender-queer people by definition have queer sexuality also). Men are also more conditioned to be more competitive in general, and to view other men as sexual/romantic competition.
I'm a man who's a little bit queer, and many of my friends are queer, so my experience is likely influenced by my crowd, but I know many more gender-queer, nonbinary, gender-fluid, and gender-nonconforming people than I know trans-men and trans-women. The AMAB people I know who aren't gay men, and have nevertheless recognized some degree of attraction to men, very often are not male-identified. But I think it's much more common for them to be gender-queer than to be women. But again, this may coincide with me knowing more NB people than binary trans people in general.
For AMAB people who acknowledge their attraction to men (but are not gay men), I do think this awareness of a sexual identity that, in men, is less socially encouraged/understood often leads to questioning the value of identification as a man entirely (especially since the male identity has so much baggage already).