Is "catch diode" the correct term to use in SMPS context?
Either term gets used and understood in either case. But I feel there is a subtle distinction, that gives away how much the person using it understands about the circuit.

I think SMPS's tend to use freewheel diodes, where the energy storage in the inductor is an intentional part of their operation. The diode lets the inductor, or at least the circuit current, keep spinning. Catch doesn't seem enough to describe it.

Transistors that switch relays tend to use catch diodes, where the inductor energy storage is a nuisance. Nearly got zapped there, phew, good catch! Freewheel diode gets used here as well, though it seems to be a bit over the top, like a sledgehammer to crack a nut.