I have a R5 since October 2020. I had a 1Dx III from march 2020 until two weeks ago, sold it to buy an additional R5.
Never used an R6 so I cannot comment on that.
I basically have 2 custom settings that I use for video: 8k RAW Light 24-30 fps and 4k 120 fps Clog (rarely use Clog3). Rarely I use 4k HQ IPB with no log if I need to give the video for some quick and dirty usage without any further processing.
R5 is imo a much better camera than the 1Dx III:
8k RAW is better that 5.5k RAW not for the resolution (although it give some more room for post zoom and pan) but mostly for the much better rolling shutter 15 ms vs 29 ms
4k 120fps is way way better than the junk 1080 120 of the 1Dx III.
Crop quality is a tad better
Lightweight, better on Gimbals
Smaller to pack, basically I can take 2 R5 in the space and weight of a 1Dx III, if you add the insane big charger of the 1Dx III you can take a gazillion number of R5 batteries…..
Flippy screen much better on Gimbals and in low angles
45 mpix much better than 20 mpix for photo
Has zebra
IBIS, IBIS + IS lens allow me to film quite a bit without a tripod, very handy for filming while backpacking for ski, mtb, etc…..
EF-RF Adapter with VND
1Dx III is better in:
No overheating
Initial AF acquisition with long lenses but only for photos in non liveview mode.
Has 5.5 RAW at 60fps but no AF
Longer battery life
Same dual card type
More rugged and better weather sealing
The biggest gain for me with the last firmware is the RAW Light that basically give me almost 2x storage. I’m a fan of RAW as it give me more flexibility in post than Clog and Clog3…. is probably me not doing it right but for me is a night and day difference RAW vs. Clog how much more post processing I can do and fix mistakes. Bonus that on my PC the RAW Light file are much easier to edit than 10bit Clog ones.
At the end the only question is if you need long takes and in case that things go south can you live with 4k SQ if the camera would overheat?
In my case it has never overheated in 8K RAW Light in my usage (but it will eventually happen). I got at the limit a couple of times at 30-35° C under the sun shooting at 4k 120 fps, this is the mode that seems to overheats the most.