I'm trying on mobile. It only shows auto-translate for Russian for whatever reason. If there's some English language source they mention or someone else reported it, it'd be happy to take a look.

People are literally trying to escape the country by rivers/mountains, with some dying there, they don't want to fight.
People are afraid from leaving their homes, because they might be sent to the meatgrinder, they don't want to fight.

You mean people dodging the draft? I think you'll always have that. War is people killing each other, what sane person wants to do that to begin with. Hell during Winter War people were dodging the draft in Finland. It doesn't really tell much about the extent to how many support the war and how many want it to continue. So far, the resolve is there, evident in their ability to continue. If there's something to show for the numbers willing to give up, it'd be happy to take a look at that too. But some valuing their own life over fighting to defend their country, yeah that's expected.