Are general skills still affecting HP number ? (some of them, at least?)

Remember that before, when I increased skill, my HP was growing too.
Recently, I upgraded my strength, but my HP number didn't increase after that.

Is there any change to equations/rules, or that's a bug/feature again?

There was a change to the HP equation. However its not been updated on the rules (I think) so no idea if its been changed away from that, or if thats a bug.

Appreciate Your help, Ellias, but that still doesn't answer my question :)

Well only Sin knows that new HP equation, so only he would be qualified to answer the question - and he doesn't post here.

Best to make a bug report about it, and they will deal with it/answer you one way or another.