In the U.S.
Mineral trespass is a federal crime when the minerals are taken from federal lands when the trespasser does not have a right to the federally administered minerals. Officially that crime is termed "Mineral Material Trespass".
Mineral trespass is a State crime when minerals are taken from privately owned minerals - including valid mining claims.
In all cases taking minerals without the permission of the owner of the minerals is theft.
Some states distinguish between "innocent" mineral trespass and intentional mineral trespass with different penalties for each class. In both cases the value of the minerals taken are the damages.
Taking other peoples stuff is illegal no matter what you call it.
The courts understand the difference between taking minerals from a mining claim (mineral trespass) and taking a mining claim or any other claimed right by resorting to legal arguments (claim jumping). There are many very recent cases that use those terms in just the same way they were used 100 years ago. In the courts the use of the term "claim jumping" has been extended from being just a mining term to include any attempt to take another's claimed right.
Highgrading and Claimjumping are both mining terms used by miners to this day in and out of court. The fact that some individuals and cultures confuse the two terms doesn't change their meaning.
A stoat is a weasel.
A Kleenex is a facial tissue.
A Fridge is a refrigerator.
It all depends on your culture what you call a thing but using different words doesn't change what the thing is.
Language - slippery stuff.
Heavy Pans