I did it last week and always got an error trying to create a new microsoft account during the migration process, even in different browsers and after disabling adblockers. Then I just manually created a microsoft account on the microsoft website and in the minecraft migration process chose to use an existing account instead of creating one. That worked for some reason.
I don’t think google fear Apple having to offer a choice to users. They fear Apple defaulting to Bing or something else.
While most people might choose google when presented with a choice, possibly more people are just going to keep the default settings when not presented with a choice.