Well I don't think you provided enough evidence to justify your claims. You seem to base everything on the difference between your own two ratings (namely blitz and rapid), but you haven't yet proven that the reason behind is not the difference between your skill based on time control. Moreover, you seem to be too focused on percentiles, but it only stands to reason that for someone with an average rating (800 for cc) a reasonable change in rating will cause a great change in percentile, since most players are around that rating level.
Here's a thought: there seems a consensus that the blitz rating for most people with a rating around 600 to 1200 are lower than their rapid rating. (Looking at either the absolute rating or percentile). If true, that provides more proof of some bias in the rating system.
If there was no bias (i.e. the rating difference is explained by the different pools and the different game) we would have an equal mix of people who's blitz rating is higher or lower than their rapid rating.
I suspect the reason we don't see this is because new starters join with a rating that is too high (1200) and that creates lots of noise with most people having false ratings and playing lots of games against others with false ratings, so changes to ratings after the game are incorrect and the system never stabilises.
It would be interesting to see what proportion of players in the 600-1200 rating range have a blitz rating above their rapid rating, if any - that would at least prove the problem exists.
(In the meantime, I'll monitor this against the next 20 random people I play).
It's like your telling a firemen to kill a fire using his fart
I see lots of possibilities to fix this - but it would be data driven & that makes it dependent on chess.com since they have the data. I have offered to help and would like to help. I would like to have a rating system that works for all - that seems a great prize for everyone.
Write an article, fully explaining your ideas, mathematics and methodology. It should probably include simulations against real world data as well. Get it published and peer reviewed.
A site isn't going to swap out its system for anything that isn't well researched, tested and vetted. It also isn't going to spend time testing something that isn't well formulated and has some real testing already behind it.