Along those same lines...
My D800 and D810 shipped with EN-EL15 batteries, which are rated at 1900mAh.
The EN-EL15 has been Nikon's go-to for "prosumer" DSLRs for a while. Offhand, the D600/610, D750 and 780, D500, D7000, 7100, 7200, and 7500 all use it. There's probably a few others. It's a great battery. It's the replacement for the EN-EL3e that Nikon used for years(back to the D200, and the EN-EL3 of the same form factor goes to the D100). The EN-EL3e was used up through the D700 and some other cameras of that age, but apparently couldn't be used anymore because it has exposed contacts which are no longer allowed in Japan(or at least that's what I've heard).
Nikon has updated the EN-EL15 a few times. The D850 shipped with an EN-El15A, the first mirrorless bodies the EN-El15b, and now EN-EL15c is the current generation. The latter is in the ballpark of 2200mAh, so it's seemingly similar to the Canon battery you mention.
A few of my EN-EL15s are reaching EOL, so I have bought a couple of EN-EL15c batteries in the last few months. Their life in the D800/D810 is INSANE. Granted I'm comparing to some well-used EN-EL15s, but even my newest and best ones show a noticeably shorter life than the "c" revision. It's worth mentioning too that I don't specifically buy EN-EL15cs, it's just that if I walk into the camera store and ask for an EN-EL15, that's what they're going to hand me unless they have a spare in their used case.
BTW, the D500 had a known issue with some older EN-EL15s draining really quickly. There were/are two revisions of the EN-EL15, and the older one was the problem. When I bought my D500, I had two of the older ones, and Nikon did exchange them for new batteries.