I shoot High School football at night with a 7DMKII and a 70-200mm 2.8. I have enough saved up for an R6 but can't afford the loss in focal length. I know the higher ISO capability of the R6 is tremendous but the lens choices for shooting under the lights are limited! I will buy a 100-500mm but at 7.1 I am not convinced the R6 will be clean enough shooting at such a high ISO. Not even sure what it would require! Just waiting!
The R6 will be cleaner, but at a greatly reduced pixel density. If you crop out a 1.6 from an R6, you will only have an 8Mpx result vs a 20Mpx result. Once you equalize the two, the delta between the two won't likely be good enough to warranty the switch and the cost, IMO. However if you only need 8Mpx results from your sports shots, then I would have a different answer. 
Your situation is exactly why I kept the 5D4, at least I don't lose as many pixels on target (12Mpx 1.6 crop), but also at a stop or more cleaner ISO. The R5 is likely a better option for what you need quite frankly.



