How much explanatory power has the EV line actually in PT or HM? My one is tilting me somewhat at the moment. E.g. yesterday I was just 1k hands into the session and already had 3 times set over set on the flop, one flopped top set vs turned higher set, and one flopped top-2pair vs bottom set. And my EV shows that I am perfectly fine when it comes to being lucky.

Sure, not all sessions start like this. But I feel like there is a significant amount of huge pots where I was way ahead while 80% of stacks went in the middle and was beat when villain shoved the remaining 20% of his stack on the river.

Is that probably just biased perception and EV on average still gives a good idea of being lucky vs unlucky?

It measures what it measures, nothing more nothing less.
I wouldn't waste any time thinking about it, since your actions have 0 impact on it.

It just shows your EV at showdown with the carddistribution being a given.

If you run KK into AA 4 times in a row, and win once.
Have you ran over EV? - Yes
Has the carddistribution been per expectation? - No

The first sentence is e bit, I mean meh. Besides that, I recently heard Jeans talk about that the EV line is important for him to gauge if he really beats a game or not. And I was wondering if it really does that properly.

microfocusing on how you are running in EV is bad for mental game. I have stopped checking my HUD in the middle of sessions, or cashier, it's not really productive to think about how many buyins you should be up if the cards are breaking even (which they will never be) and sometimes you will be heatering and running over EV, which you won't be complaining about, but it's just as meaningless and counter productive to focus on. Try to only look at the end of a week if it bothers you.

I always think about that when cards are dealt other way around do i win/loose more than villain. That gives you best idea if u were playing good. If you have 2000 hand session where you are up 4buy ins and where you get 4x money in w: AA vs KK/QQ and you hold. Your winnings are 4bi for that sesh BUT your real winnings were 0 becouse you will loose same money when cards are dealt other way around.

if you got the money in when you are ahead vs opponent - that means you made the correct decision - i wont worry about it

aiev only shows one piece of the variance puzzle. i really don't think you should draw conclusions after 1k hands

this isn't true at all

It will give a slightly more accurate view of your performance than non-EV adjusted winnings, but obviously doesn’t adjust for any of the other myriad luck factors.

If seeing the discrepancy between actual and EV winnings is going to have a mental game effect on you, or you think it might, then better to just ignore it.