I don't care so much that the wars are moral, that's a necessary condition, but by no means sufficient. (More on this in my reply to
@Zachowon below).
It's wrong for a country to force people at gunpoint to do things. And no, just being a citizen does not mean you've suddenly signed up to all the stupid/immoral things a country agrees to, nor give the country a moral pass. Not being a slave is a basic human right. There is no agreement that one can sign up to that will give it up, the same with one's right to practice a religion, etc. What the government can do is commit an evil (the draft, taxes, etc) to avert a greater evil. That's it. It's still wrong, just a necessary wrong. But it's so rarely a lesser evil and not just an additional evil (I'd say just the civil war) that it should just be tossed, especially in this age of a volunteer army.
A draft is forced labor, also known as slavery. Unless a) you are defending against something worse than mass forced temporary slavery (which isn't much, just mass executions or more slavery), and b) you for some reason can't enough recruit people voluntarily that conscription is the difference between defeat and success, the draft is not the lesser evil.
I'm especially dubious as to (b) in WW2 and Korea, and WW1 and Vietnam don't satisfy (a).
So in this war, Russia is definitely evil for doing conscription, and Ukraine is also probably wrong (for reason (b), as (a) is arguably satisfied by Russia's conscription).
To be clear, I don't see either side as 'good'. Just one side as monstrous (Russia: slave soldier, invading a foreign country, playing the will I won't I nuke you game, etc.), and the other side as mediocre (a corrupt democracy, but trending the wrong way during the war (typical, but bad), and also an armed nazi brigade).
Now this is getting off topic, but no, public funding is inherently
immoral is my claim. It's wrong to tax people, because it's wrong to threaten people at gun point, which is how taxes are ultimately collected. Hence why communism is morally wrong, not just impossible/impactable. Any further convo about this part is, I think, outside scope of this thread though.