I actually wish that ICAO or the FAA would come up with a DEP criteria, but alas, I dont see that happening.
Too many variables across many Types .. so it is likely always to remain with the PIC (ie operator, in general)
You have a 20K, 5 sec motors, its hot and you are heavy, you are going to be at double digit climb gradients....
.. can you run that one past us again ? (as an aside, I presume you are referring to 5/10 minute rating .. rather than second ?)