Lampard was a great pro and all of that is true, but as a manager I dont really see it mate. At Derby he had (relatively speaking) loads of money and didnt get them promoted (but did well to get them into the top 6). No issues with his job there, but I'd say he did decently but not much more.
At Chelsea, I think he underwhelmed. When they came to Goodison a couple of years ago, they were ran off the park by us. I thought they were soft. In his 1st season he got less points than Sarri got, and in his 2nd season, he had them in about 6th. Tuchel has come in, won them the CL and had them on 2ppg form in that time (so title challenging form). Hes only added Lukaku, who in honesty hasnt worked out.
Long story short, I think it's hard to say Lampard didn't under achieve with those players. There was lots of good that he did too, he has "name recognition" (which does matter, as like with Gerrard, and Rooney people will come to play for him) but I cant shake this idea that he under achieved at Chelsea.
The other concern, is he has been at 2 clubs at the right end of the table. This situation is completely different. Rooney's experience, of managing a bigger sh1tshow than here, and having a record not too dissimilar to Lampard at Derby is astonishing. Theres a credible case hes MOTY at Derby. Hes taken a group of players that would have been akin to Norwich or Newcastle in the PL, with a 21 point deduction, and got them to perform like a side in 8/9th in the PL.
People sort of say we wouldnt notice him if he wasnt Wayne Rooney, but honestly I think that's not true at all. I sort of think because its Wayne Rooney, and for whatever reason people dont want "jobs for the boys" and understandably because of many of his antics, people are underestimating what he has done at Derby. The fact he stuck around, and didnt let them fold, in his 1st season in management, is a big plus for me. Hes found solutions to problems.
I see Lampard, and hes only really known well structured clubs. I really worry he drowns here.
That's my thoughts though. Like honestly I'm not sure I want either, but if it was 1, for me it would be Rooney. I think this jobs for the boys stuff had to be looked at, Rooney could have easily come back, and just been an academy coach here and taken the easy option. It probably at United too. He didnt, he went and cut his teeth, in a eally tough spot. Could have walked away from Derby knowing hed almost certainly have a relegation on his record, hut didnt. He makes a lot of mistakes, but I think that says a lot about the character of the fella really.