Depends.
I loaded my 308's with a range of bullets. Some made a mess and some just drilled them.
I even loaded it for rabbit.
A premium large game bullet most probably would not have time to expand fully on a small cat but some on the other hand are quite dramatic. Some speer 150gn hot cores aross the ribs of a fox would make little mess but the same bullet end for end and there would be carnage!
Just because it is a 308 it dosnt mean its going to result in greater carnage.