The H had a mechanical drive train; the P had electric.
The turret of the H was turned by a hydraulic pump with a mechanical link to the transmission shaft. There was, of course, no transmission shaft in the P. So this feature could not possibly be the same.
It gets worse. Documents tell us that the P didn’t have a hydraulic system at all; it had an electric motor (the Panzer 4 also had one). So, the H had that big hydraulic pump on its turret floor, but the P must have had a completely different electric motor up by the turret ring.
It gets worse. Documents tell us the P didn’t even HAVE a floor. Photos of the wooden prototype support this. It had dangling chairs, like the Panzer III. And in fact the chairs in the H are probably the same in both tanks because they’re not attached to the floor legs.
So, if that large dangling floor panel, and all the jerrycans and the pump and the equipment on it, did not exist in the P. That’s a major difference.
It gets worse. The layout of the tools and wiring on the turret walls was changed a few times. We know that the very first H vehicles had a different layout to Tiger “131”. That original layout probably existed in the P as well. But Amusing Hobby have copied the layout of Tiger “131”, ignoring Tiger “712” in the USA which is older and would surely be a better likeness to a P vehicle.
In summary: there is plenty of “reason” to conclude that these turrets were different inside. When researchers have spent time finding and translating documents, please respect the work that they’ve done.
David