Can the frost protector replace the wood stove?
No, the frost protector cannot replace the wood stove to reach bathing temperature.
The primary function of the frost protector is to prevent ice from forming in the filtration system in wintertime. At subzero temperatures, the filtration unit should be kept on at all times. The frost protector will automatically activate when the water temperature falls below the target you've configured using the thermostat.
Remember that the filter, pump and frost protector should be installed inside a frost-free area e.g. in a wooden box with insulation, in a shed or underneath a terrace.