Again, I judge people in my own country (and my own country's government) just as harshly when they advocate or implement policies that I consider immoral, unethical, or just plain stupid. I also don't freak out when people from other countries criticize my country for those things. In fact, I welcome their support.
I just don't understand the mentality of getting way more upset about other people's perceived hypocrisy, than getting upset over people doing actual terrible things. Hypocrisy is a bad thing, but it's a drop in the bucket compared to people doing actual bad things. Hypocrisy, even when it's true, is a really pointless thing to get worked up about.
In my experience, the only times people bust out hypocrisy as an argument against someone else's accusations, it's for one of two reasons:
(1) To show that the accuser doesn't really think the thing the accused did is wrong. I imagine there may be a few cases where this might be meaningful (like when political candidates debate each other), but it has no bearing on the accusation itself. If Charles Manson accused John Wayne Gacy of being a serial killer, the obvious hypocrisy wouldn't make me question Gacy's guilt, and it certainly wouldn't lead me to the conclusion that because hypocrisy is involved, it must be OK to be a serial killer.
(2) Other times people bring up hypocrisy because they're just trying to deflect the accusation. This is whataboutism in a nutshell. In this case, the person upset about hypocrisy is actually OK with whatever the accusation is, and they just want to change the subject by putting the person they're accusing of hypocrisy on the defensive. It's a rhetorical trick but all it does is confuse the issue and attempt to normalize indefensible actions.
Again: it's hard for me to even articulate how irrelevant it is that America might be guilty of similar things at various points in its history that I am upset at Putin about. If Putin started calling out human rights abuses in the US that were in fact real, I really really really really really don't care that he might be hypocritical by accusing my country of such things. If his hypothetical accusations were correct, I'd be every bit as concerned about them then if the accusations came from a less hypocritical source.