There was a time pros wouldn't use digital, most of them are dinosaurs.
The lenses available are usually the same, most people don't need the really expensive ones. PS my 500 mm "lens" has better optical performance than most pro 500mm lenses as its diffraction limited and optically correct (its a telescope). I have access to an 1800 mm one too but I don't need to see the pores in a footballers face at the other end of the field.
But you complain about EVFs lagging so live view is no good.
Don't be silly, do you really think the EVF is going to lag the amount of time it takes to whip the mirror up? Why do you think you can only do 10fps even on an expensive pro camera, it takes about 100ms to move the mirror. A mirror-less camera could be taking jpegs at 30 fps (no not movies, stills)! Some might even do RAW at that speed but you need one hell of a fast card to keep up. The wife's superzoom will do 10 fps in RAW but its only 16 Megapixel.
At 10 fps the mirror is bouncing up and down at 10 fps, not much good if you are trying to keep something steady.
In a mirror-less camera there is no optical viewfinder so if its not a good one it can be difficult to use.
Having said that a good mirror-less camera will allow you to see and frame stuff that's just too dark to see through an optical viewfinder. A year or two ago the opposite was true and optical ones were better than electronic.
Just because you pay £6k for a d3x doesn't mean it takes better pictures than a Sony a7. You can probably get more system parts for it but that doesn't mean you can't take the same photos in different ways, you just have to be creative.