This data in many ways disprovez what you are saying. I mean Everton and Wolves are virtually level with Arsenal/Chelsea yet the TV revenues they get far more money. If anything the top 6 get too much money.
The gap from top to bottom, is like 2.5 x. It's hardly indicative of them bringing in all the money. Quite the opposite.
Then factor in, the exposure and push the top teams get, particularly Liverpool and you wonder if all teams were marketed equally where it would be? If West Ham and say Palace had 2-3 more years going for the title and say Spurs and City were in the bottom half, I'd wager a fair bit the former would have more viewers.
Essentially, however is top, and whoever get the push from broadcasters will get slightly more viewers than the rest. However the uptake in watchers doesn't really correlate to the existing inequality in revenues. That's all that's been proven there.