To be honest, it's very similar to a lot of areas in football. We had the whole "Jose hasn't been the same since Rui Faria left" garbage, Rafa fell apart when Pako left, Klopp was supposedly lost without his boy that looked like Professor Snape, but now that shite are top of the league no one even remembers that guy existed. People even have such a fully formed opinion of what Ed does and doesn't do despite absolutely no insight whatsoever.
We can, of course, speculate and yes I do believe Ole probably allows those two to have larger input than Jose would, because a)they've been there the whole time and b)Ole seems to be a lot less rigid than Jose, but we can't really know enough to take credit away from Ole for the upturn in fortunes.