If I was Russian, I'd be really concerned about life after mobilization. It's going to be really hard for women to fight for equality and the same civil rights etc, if surviving men have this ultimate trump card. I imagine Russia has some don't ask don't tell thing (at best) regarding gay men, in which case the aftermath will be a relentless nightmare for gay men too regarding equal rights.
I thought this regarding Ukraine too. In addition to there being a lot of extremely traumatized people, there will be enough people who might say 'no, we aren't discussing equal rights' - and they'll have a point. The amount of work, and the depth of it, to rebuild that country while smoothing over these tensions is a daunting thought. The work of more than one generation.
I know there are other countries that do likewise, including the United States where boys have to register or progress through adulthood ineligible for pretty basic things and civil rights - and just look how women are treated there by half the states and the pussy grabber in chief. The Democrats recently tried to equalize this, and the Republicans blocked it - as of course they would.
'My body my choice' has to apply to everyone. If one section of the population is barred from leaving the country due to age and sex, those aren't equal civil rights. And it's a huge barrier to groups who are more regularly disadvantaged in peacetime, because you've handed every straight man between 16 and 60 the ultimate trump card. I really think it's a problem and a threat.