This issue highlights the difference between the Tonys and the Oscars. When people win an Oscar, they say that it is meaningful because they are recognized by their peers. There is an actors' branch, a cinematographers' branch, etc. Similar setup for the Grammys - to be eligible to vote, you have to have been involved in a certain number of commercially available recordings in any of a number of different capacities. But the Tonys are basically voted on and run by the producers. There are others in small numbers in the voting mix, but the award is more like film's Producers Guild Award than the Oscars. It's not really a peer award.
So it is inevitable that it is set up to the benefit of the producers. They are the ones running the show, not the theater community as a whole.
( I don't know how you qualify to vote on the Emmys. Is it more like the Oscars or the Tonys?)