Wright started the 1st game Nunez didn't that's all we know. I believe the reasons behind that decision are unknown, unless you have additional information I don't. In which case please share ? I wouldn't have sacked Farke nor Wagner, but we are where we are.
So you drew a conclusion from the very limited information you had that Manning thought Wright was better than Nunez even though Manning has never publicly expressed that view. There could be a 101 other reasons why he made his decision including your assumption, but the truth is you don't know why the decision was made.
I'm wondering if the main issue at the moment is more about lacking a serious, creative ACM / 10 rather than Manning's tactics. I don't think it's Crnac's role and haven't seen Marcondes or Schwartau grab it when given their chance. It's all a bit laboured and predictable. Who can be Sargent's Buendia?