They certainly influence the fixtures, like when they have the big Sky derby weekend, or when both Manchester clubs play both Liverpool clubs.
And whatever happened to taking turns on the home game on Boxing day?
VAR will be interesting if it ever happens, because certain high media profile clubs benefit from decisions a lot more than others, and that's decisions in games or retrospective punishment etc. The media pretty much run football these days.
Actually that used to a regular thing way back before Sky.
The Merseyside clubs would face the Manchester clubs on the same weekend ( or a Saturday afternoon as it was then).....or EFC would play Arsenal at home while the RS travelled to Spurs.