I think the bigger question is have they signed anyone we would have wanted? With the Scum, the answer is clearly no. Nobody in their right minds thinks Varane is better than Dias; and I don't rate Sancho as better than either Foden, Jesus, Mahrez or Grealish (or as good). Ronaldo not even United really wanted.
With Chelsea, the question is around Lukaku. I personally am not a buyer - certainly at 97.5mill. Having watched 2 games + Euros, I don't see him as any different a player than he was at United. The PL is just much tougher (to put it mildly) than Serie A. Moreover, while he likely makes Chelsea stronger, he is probably more suited to their style than ours - i.e. defensive foremost and he can be the outlet for a long release ball. So not a viable option for us IMO even if he had been interested.