The way I understand it, Moose maple or moosewood usually refers to striped maple which is different from red.
Moosewood starts out smooth and stripey but usually has furrows in the bark by the time it's about 4" in diameter. It rarely gets over 5-6 " diam..
I don't know why they call it 'moosewood' because moose don't seem to eat it. If they can't find red maple, they would rather chew on balsam saplings.
Red maple is soft maple. There is ( or was ) a market for it for cheap furniture parts ( I think that was the use). I've got tons of it on my woodlot but I don't think it's even very good as firewood which is all my moose-chewed trees would by any good for.
I can see how red maple with smooth bark might be called 'moose maple' because they chew on it so often. And once the bark starts to have furrows, the moose don't chew on it.