RPM-based distros make up maybe 10 % of the Linux installations these days, so we should not overstate RedHat's influence.
I believe that 2015 estimates from the IDC[1] had RHEL at ~60%, SLE at ~20%, Oracle Linux at ~12% and "Other" at ~8%. But I can't access the document at the moment.
There are not that many companies doing the same. Which is why they have a lot of influence over the direction of things.