Well, it depends on the logic error doesn't it? And it depends on how the system is intended to behave. A method that does 2+2=5 is a logic error, but it could be a load-bearing method in the system that blows up when changed to be correct.

Something like blowing up the stack or going out of bounds is more obviously a bug, but detecting those will often require inferences from how a code behaves during runtime to identify. LLMs might work for detecting the most basic cases because those appear most often in their data set, but whenever I see people suggest that they're good at reviewing I think it's from people that don't deeply review code.