On a properly designed, installed and maintained fireplace it shouldn't
be a problem to mount a TV above it. The heat from the fire is routed
up the chemney which is well separated and insulated from the wall.
Do a little experiment. Light a nice fire in your fireplace. Then feel
the wall where you'd put the TV. If it's more than a few degrees warmer
than the walls a little ways removed, you have problems that should be
investigated by a professional.
I think you'll find it the same temp. Go for it.