No, it won't. It's re-installing the "Google" app, not the "Home" app.
Data is also stored on the server of Google, not locally on the apps. So
it will be fine!
On your phone, go to Settings -> Apps -> select the Google app -> click
the 3 dots in the top right corner -> uninstall updates. Once you do
that, reinstall the updates for the Google app through the Play Store.
Then you can go back to voice match se...