Dyche's best performance with Burnley was finishing 7th in 2017-18 and qualifying for Europe. True, he only had one other top ten finish, 2019-20. Unfortunately by then the chairman had stopped investing on players, and by the time Dyche got sacked Burnley FC had £80m in the bank. (Now we have negative £60m because the outgoing chairman took it all with him and replaced it with an IOU from the incoming, skint chairman).
He only had two full seasons at Championship level with Burnley. 2013-14, P46 W26 D15 L5, F72 A37, 93 points, second. 2015-16 P46 W26 D15 L5, F72 A35, 93 points, first.
The first of those seasons, we had finished 11th the year before under Eddie Howe and were forced to sell our only saleable asset, Charlie Austin. All Dyche could sign were free transfers from Bristol City, Huddersfield, and Wiigan. (Admittedly they were Tom Heaton, Scott Arfield, and David Jones, and a better free-transfer window there has never been.)
And as Leicester supporters know perfectly well, if you have a side less inclined to fanny about at the back and more inclined to get the ball to your goalscorer in prime position, and it wins you the league, it is entertaining.
Incidentally, for those who think he isn't the man to build, in his first PL season he demanded that his transfer budget be reduced and the money spent on a new training ground (cost £11m, incidentally). He was not happy that the first PL promotion had done nothing for the club infrastructure.