I don't think that's quite right, Microsoft's main game was keeping the money train going by any means necessary, they have staked so much on copilots and Enterprise/Azure Open AI. So much has been invested into that strategic direction and seeing Google swoop in and out-innovate Microsoft would be a huge loss.
Either by keeping OpenAI as-is, or the alternative being moving everyone to Microsoft in an attempt to keep things going would work for Satya.