The other fact is that Range plugs and Dryer plugs are not the same pin out, due to the different current ratings.
It would not matter what kind of (male) pin out arrangement was used where the adapter was internally fused for 15 amps, or could be 20 amps when equipped with a duplex (female) receptacle set fed by one of the hot lines.
Actually there is a disadvantage using this adapter behind a stove, e.g. when converting an electric stove to gas. If the internal fuse blew (or an internal breaker tripped) it would be necessary to move the stove to reset the adapter.
The good conscientious technician or serviceperson will carry extra oils and lubricants in case the new pump did not come with oil or the oil was accidentally spilled, so the service call can be completed without an extra visit.
Tripping the fuse in that device would not be a concern to me for even a second. I don't know about anyone else but I can not remember the last time tripped a breaker on overload much less a dedicated line to a stove that only draws minimal current for the electronics.