When you don't have syncing enabled on Google but sync everything on one computer to another, the following can happen:
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Local Sync Only: The data that you sync between the two computers will only be locally transferred. This means any documents, files, or settings that are synced between those two computers will not affect or update anything stored in your Google account.
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Google Data: Since you don’t have sync enabled with Google, any changes made to files or data on your local computers (like Google Chrome bookmarks or Google Drive files) won’t reflect in your Google account. Similarly, any updates made to your data on the Google platform will not be reflected on your local computers.
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No Conflict: There won’t be any conflict or overlap between the data on your computers and what is stored on Google since they are operating independently.
In summary, if you don't enable sync with Google, the data between your devices will only be synchronized locally and will not interact with what is stored in your Google account. To have consistent updates across devices and with Google, syncing must be enabled.