I see it slightly differently. He spent a lot on the team that finished 2nd the year before, ahead of United, in the first year of the Abramovic takeover.
Winning 2 leagues in 4 seasons when you have no competition because the only two challengers are undergoing a transition, and being able to spend 3 times as much as your next nearest spender, only to be outperformed by that team in question over a 4 year period isn't domination, by any sense of the word.
Not sure why the points tally in just one of the 4 seasons matters more than the points tally from 2006-2007, if we were to look at it from another point of view.
You're isolating that Chelsea period, then saying that 60% of it (2004-06, since he left early in 2007) doesn't count because of lack of competition, you're ignoring what he did to Pep's Barca with 2 very different teams in 2 very different ways.
Let's look at Pep with the same lens.
He hasn't invented anything - possession and pressing was seen at Ajax and Milan too.
His first team (which had a GOAT player) got favourable refereeing in all their 4 CL semi-finals and he could only win 2.
His only league rival there was going through rebuilding, so he got gifted his first two titles by default. When a rival manager got 2 full seasons to coach their team properly, Pep lost the title and the head-to-head, and he fled from the league.
He then took over treble winners and never even got to the CL final, losing to counter-attackers 3 straight years.
Finally, he got into a team with historic unlimited spending power, the best squad depth in history, in a league with all rivals going through transition, was given a team which had won 2 leagues in the last 5 years, and all he has managed is 3 in 5, with zero improvement in the CL either.