>A problem is that (at least some parts of) America has pretty absurd "stand your ground" laws (absurd from a EU POV).
You're confusing "stand your ground" (wherein one can defend against an attacker regardless of where they are) and "castle doctrine" (wherein one can defend against an attacker if residing on one's property). It's the latter that's applicable in this case, but only if the person trespassing is also attacking the property owner.
Additionally, there is a very strong historical precedent for both in western (ie European) law, and especially for the latter.
Sure I mixed up the terms but the difference is how the law is interpreted today.
in many EU countries the ways you can defend against an attacker are in practice much more limited and highly contextual. If you kill someone who is hiking across your property you are most likely going to prison for killing, even "just" using a taser or holding them down until police arives can easily count as unproportional amounts of force and get you sentenced for hurting the trespasser. On the other hand you are much more likely to get away with it in some US states.
Furthermore in some EU countries trespassing laws are also more limited and can even have unexpected "gaps". Like there had been a case in which it was found that activists which trespassed onto a farm to document animal abuse where not found guilty of trespassing as they had a reasonable reason to enter the property.
And sure it's something else if you idk. brake into someones home instead of "just" trespassingly pass through a property (especially if the property is not fenced off, I think in some countries if a property is not fenced of and there is a path especially if its without a sign and it's not just obviously a garden of a house it doesn't even count as trespassing at all).
Lastly people having a gun at hand is also much more rare in many EU countries.
You're confusing "stand your ground" (wherein one can defend against an attacker regardless of where they are) and "castle doctrine" (wherein one can defend against an attacker if residing on one's property). It's the latter that's applicable in this case, but only if the person trespassing is also attacking the property owner.
Additionally, there is a very strong historical precedent for both in western (ie European) law, and especially for the latter.
https://en.wikipedia.org/wiki/Semayne%27s_case