Every single engine piston POH that I have specify "full throttle" for takeoff and for those with constant speed props, the max RPM.
A reduced power takeoff is therefore not an authorized procedure.
Personally I think it is a bad idea in a SEP because in the event of an engine failure. altitude = options. So a reduced power takeoff means that you will not be as high as you could have been at every point in the take off flight profile.
I think it should also be noted that virtually every carburated and fuel injected piston engine is designed so that it has an extra rich mixture at full throttle. Therefore the engine could will run hotter at a high but not full throttle setting. This is particularly significant with turbocharged engines