I don't see any apparent advantage to LCs over the hammer with the 3+.
If all you ever fight is, say,
MEqs, then
LCs are better.
If you never get hit with AP2, then
LCs are better.
Obviously the time will come when you do have to fight
MCs,
ICs or vehicles, or when you're shot with AP2. But is it often enough to not have a certain number of
LCs in there? I'd say that most of the time it's going to be simple troops, and most of the time it's going to not be AP2. So I take more
LCs than
THs.