Then follow that path, once you are comfortable with the approach you can start hosting more and more services,to the point that you can selfhost your own messenger services or ms teams services.
Once you are in that situation, you can think in accounts rotation and/or burner identities to address the services you can not pull from the big techs
Even if you have a valid point, modern fingerprinting technics usually is done through your data and the connection dependencies of them (which accounts are activated from the sane computer and so on).
Selfhosting remove some links between your data set like the files you store in drive, the people who appear in your photos, your contact list, to whom you email... Etc etc
Suddenly all this data is vanishing from the big techs, so, in theory it would be possible to make that association process more difficult