As a mod, sure! As the default game? Not so much.
Everyone's vision of "hard core" seems to be a little different with lots of variation on what is the extreme. I do, however, perfectly understand your argument of what should and should not be known at the start of the game. I think that's where those first few points come in to play once you've completed the "tutorial" or "newbie quest" or whatever you want to call it. Those are essentially your starting knowledge as far as I'm concerned.
If this was a lot more RPG-ish then I'd even say give us something like the start of Ultima (or Project Zomboid) where we can choose a starting class of sorts that gives us a set of skills that we like. Everything else starts at zero, unable to be used until we put at least one point into it. They could even use some trick like Asheron's Call did where this introduction stuff all happens in a POI in some corner of the map, deep under water and surrounded by bedrock. No way back in once you leave and won't affect anyone's map to any significant extent.