For inductive heating, you have generally a close-coupled
magnetic field (workpiece inside solenoid winding, or for
cooking, a flat coil with the susceptor directly above).
That works OK. But now you want to heat very remote
features (which would need to be placed, and ensured
that convection is as desired) which will be poorly
coupled. Direct electric heat is wasteful, using high
grade energy to do a low grade job, and doing this with
HF losses on top makes even less economic sense.
Then there's the question of how the refrigerator's
steel skin will like being inductively heated, how the
various electronics will see that high power EM field
and all that - which maybe a one-off hobby project
could deal with, but is liable to be a hurt waiting to
happen when you expose the concept to the wider
universe of human ignorance and home furnishing
variation.
Forced air probably still wins over forced ether.