Refridgeration setup:
Compressor -> Condenser -> Expansion -> Evaporator -> start

Ok, there’s maths involved here, but I’ll lay it down real simple: The difference in extremes of temperature between the condenser and evaporator are controlled by two factors: the gas used and the amount of compression used.

No gas is available to make that plate get any hotter than about 150 degrees; At least, not without making the fridge into a freezer. Meanwhile, the temperature of air blowing into the inside of the unit would vary wildly from slightly above near-freezing, all the way down to freezing alcohol. In other words, using it as a controlled heat source renders it useless as an ice box.

Meanwhile, there’s no reason you couldn’t use the condensation end as a pre-heat feed into your water heater (or, in addition to an ice/cold water dispenser on the fridge’s front, have a hot water dispenser) making use of the waste heat as needed, and leaving control in the hands of the fridge’s internal needs.