He's constructed the Real side, really? Ronaldo, no, Alonso, no, Ramos, Casillas(obviously) no, Benzema, Higuain, no. Varane..... Coentrao is woeful and cost £30mil, Modric is £33mil, not by any means terrible but not the basis of that team, Ozil is a joke in all the big games, Di Maria is a diving idiot who has gone missing in 8/10 of their big games, marginally better than Ozil in that regard.
The vast majority of that squad, most of the way it played, most of the players was by and large Pellegrino.
Mourinho won't get any credit because he wasted money, got maybe 2 buys right in total, got the entire squad fighting, got thrashed in the league, and lets not forget, kicked Fabregas when Marcelo tried to kill him and was on the floor injured, stuck his finger in the current Barca manager's eye(when he was previously assistant), and is generally the biggest **** in a team that already had Ramos, Pepe, Marcelo in, which is some achievement.
As for Inter, it was at a time that much like Mancini, there wasn't really any competition with the previous competition all being wiped out by the scandal and taking many years to rebuild. He bought short term solutions on high wages, IIRC they were gifted the title in 2004 via the other guys having the title taken off them, Inter also haven't fallen quite as by the way side as people think, its a combination of everyone else getting promoted, getting back to strength, etc, etc.
Inter won the tital from 2004/05 through 2009/10, Mourinho once again took over a winning team(with little competition) and turned them in the short term more defensive, and long term screwed them up.
Lets just say this, managers take over, they don't forget every second before then, and when managers leave, everything they've done isn't erase instantly... I like how because you clearly love Mourinho you're both saying the Inter team after he left getting worse couldn't possibly have anything to do with Mourinho, but in absolutely the opposite stance, think Real will improve because of Mourinho's work over the past couple years.
one of those views suggests managers leave a lasting effect (that usually takes quite some time, 1-3 season depending on the level of change IMHO) on a team after they leave, and one of those suggests that a team that falls apart right after he leaves has absolutely nothing to do with the previous manager, so has no lasting effect on the team at all.
The fact that Chelsea got worse and had trouble, attitude problems, problems with being too defensive and looking stale upfront, that he tried the same at Real but almost lost his job being too defensive in the first year and quite clearly changed his tune in the big games(he started off with Inter vs Barca like games and getting thrashed against Barca, and then switched when seemingly being threatened with being fired after a year to a very un mourinho like all out attack against Barca, and their results improved drastically). Its his MO, you can see this at every club, that teams start to fall apart after 2 years.... but at Inter it can't be his fault and if Real improve next year, it will be down to him... sure.