Some like pigeon-holing Dyche as a relic from the past and it's in large part due to his appearance and personal characteristics; if he was from South America or mainland Europe there would definitely be a different perception.
Fact of the matter is he gets results and I'd say the last two games shows that he hasn't lost the dressing room at all - which some were worried about given the stuff re Patto and downturn of form.
On to his playstyle - I know for a fact at Burnley it wasn't all 20% posession (overrated/misleading stat anyway) and when we were at our best we zipped the ball about on the deck and pressed relentlessly... I've posted this on here before, Klopp gets credit for bringing intense pressing marketed up as 'geggenpressing' or 'heavy metal football' but when Dychey first came to Burnley we blitzed the Champ (with some pretty average players in large parts of the team) with our relentless pressing and zipping the ball about the park at pace.
I will say that when his back is really up against the wall, injuries, downturn of form etc he does have a tendency to sort of go right back to basics and formulate a really basic gameplan/playing style - that is one critique I do have of him but he obviously believes that if his team is doing enough of X for Y amount of time then he will get Z amount of results which is enough to get over the line.
I can understand the frustration shared from large swathes of fans with the downturn in form an 14/15 matches without a win but crikey I do think the Everton job is one of, if not the hardest in English football at this moment in time.
Again, some of the shouts/comps for managers from the Championship that hasn't anywhere near what Dyche has done seems a little strange... Just for a quick comp look at what he's done with this side vs Lampard, even after losing Richarlison, Gordon and a few others, with the squad also 2 years older. That in itself speaks volumes to me.