Jim, as I'm sure you know, more teeth is better for crosscutting and fewer teeth is better for ripping.
One thing about miter saws is that your cut is usually over very quickly, as in a second or two. Because of this, I suspect that you can safely go to the thinner blades, but stay with more teeth. More teeth equals a smoother cut.
On your table saw, you may have cuts which take much longer, and therefore build up more heat in the blade. This extra heat can cause the blade to temporarily warp. It will straighten itself out once it cools down.
Now on your miter saw, that's unlikely to happen.
I am always of the opinion that it is worth getting good quality blades for any of your saws, especially if they are used frequently. If you have had good luck with Freud - as I have also - why not stay with them?
OK, fess up...which one of you clowns stole my sig? It was right here a second ago.