Do you honestly think that would have any effect beyond Gmail users? (those would really hurt)
But otherwise I don't think an average non-tech person would be likely to notice a difference between Bing and Google. And ms, ddg, Kagi and perplexity would love to see lots of people actually looking for alternatives.
Docs/sheets/pages/whatever wouldn't change since they're supported by the paying users. The rest, Google is going to kill at some point anyway like they did with hundred other projects.
They only one I really don't know how it would be affected is Android.