For comparison in that aspect, Liverpool signed Karius during Klopps time, they didn't tell him no when he wanted to upgrade him with Alisson.
Same goes for when they signed Van Dijk after already having signed Klavan & Matip. No one is telling him he can't buy Keita or Fabinho because he purchased Grujic, Chamberlain or Wijnaldum.
City didn't stop backing Guardiola because Hart was replaced by the failure Bravo, and then wanted to replace him again with Ederson, and they certainly didn't stop signing player after player for ~30-50 million in positions he already had good players (Mendy, Walker, Danilo, Mahrez, Stones, Silva, Jesus, Gundogan etc).
Woodward & the board giving Mourinho a new contract just to half a year later not support him in the transfer-market isn't good planning. Back him or fire him. If they want a change of style then I'm sure a lot of people would understand that, but from Moyes to Van Gaal to Mourinho and then telling Mourinho that they decide the need of the squad suggests that style matters zip, zero & zilch and they are really only interested in minimising investment to stay as profitable as possible.