Dyche's future has come under speculation in recent weeks amid rumours of a boardroom disagreement at Turf Moor, despite the Clarets being in the running for European qualification.
"I have said all along I think Burnley are the most talked-about football club in our football club, £120m, £120m, £120m, another one and another one, that is what they have done, the consistency," Wilder said.
"Brilliant manager, gets the best out of his team, they are a great example for my football club and my players on how to do it.
"If I am sat here in four or five years time a Premier League manager like Sean is, I would be absolutely delighted.
"Absolute nonsense, complete nonsense in terms of anyone questioning what that man does for that football club.
"That is an ignorant, ridiculous opinion. Complete nonsense. I don't get it.
"If anyone asked the question after what Sean's done for Burnley, I would be saying has that football club done enough for the manager after what he has done for them?"