I've been doing some third party battery testing behind the scenes. It's kind of interesting. It does seem that the R5II is thirstier, and it does seem that the LP-E6P batteries aren't as hardy.
My testing of all third party batteries available at the time for the R5-1 revealed that the third party ones were quite a bit worse. The exception was the Smallrig ones that had the USB-C port right on the battery. Those were great, lasting as long as the OEM batteries. I gave the six I bought after that testing to my wife, who continues to use the R5-1.
Having grown used to the USB port charging directly on the battery I purchased some Metacucu (didn't make that up) batteries when I made the move to R5-IIs. They claimed they were LP-E6P compatible. My expectations were very, very low, but they turned out to be great. Here is the page I bought them from...
I've been doing tests of both the Canon batteries (I have nine of those) and the Metacucus (I have six of these), running them through a Dolgin tester that puts them through their paces.
The early results are interesting, and a little more complex than a simple number.
A) Canon P batteries will charge and then discharge about 2.5 percent more in a cycle versus the Metacucus.
B) Oddly, though, the Canon P batteries start losing charge very quickly, even as they aren't in a camera. I've seen batteries at 75 percent after having sat a week after charging to 100 percent. The Metacucus do not do this, and follow the normal passive discharge rate we all see with the older LP-E6s of various flavors.
C) My strong sense using both batteries in series is that the Metacucus give me more juice on average. It feels like I'm using an NH battery in an R5-1.
D) The Metacucus have a battery meter feature, where it lights up with its current state of charge when you press a button, which has actually been handier than I anticipated.
Of course, that's just one random brand I tested versus Canon. I'll go buy a few of the most popular other third party batteries on Amazon and see if they're any good as well.
-tig