Well men are under the influence of testosterone and all that that brings but I don't even think men or wider society would view that as hormonal, just as part of being a man. They probably see themselves as being enabled by it as opposed to limited.
Thats an interesting idea and tricky to define -
when men have low T e.g. from aging, weight gain or even when they have a child with their partner and their T levels drop ~30% in response mood is impacted, sex drive is impacted,body composition is impacted, body hair etc
As its examined more I think we'll find men aren't as even keel as we've previously assumed - like Dr Anna Machin discusses in her book
https://www.amazon.com.au/Life-Dad-Making-Modern-Father/dp/1471161404 - men are also subject to dangers of depression right after having a child.
Testosterone heralds the different phases of a man's life and makes sure our highest subconscious priority is reproduction and this is the same job estrogen, oxytocin and progesterone do for women - we know about the fluctuations because periods are overt and in short term phases of repetition but men are very much subject to hormones
you are right that men are virtually slaves to it - I had a period of time where as a young guy I *aspired* to be asexual because I wasn't yet used to the idea my brain paid SO much attention to women and I had just had enough time pass to realise that it would even affect perception, making me make excuses for the behaviour of young women I'd decided were cute & available and view it all through an optimistic prism
I think from teens on, guys have to take steps to either drop their interest levels before heading out in public or worry about not having great judgement and then testosterone motivates drive to high sex frequency in a committed relationship and then in later life when it drops down to low levels, leaves a man still with that as his default form of intimacy and affirmation of love and value in a pairing despite its increasing absence.
I think an earnest person who has sympathy for women during teens, their period, during peri-menopause, full menopause etc should definitely understand that men have their own juggling act to be decent, even tempered,kind AND do their thing , find a nice partner, probably have a family, stay faithful