The only thing you can do is to install the printer via GPO startup script that runs before logon.
Wouldn't this also run in the context of an admin user...
Yes, it is true, but when installed to the admin profile the drivers get installed. Later, during the logon script the non-admin user doesn't get prompted to install the driver since it was previously installed.
We do it all the time, install the printer as admin so that regular users can later install on their profile.
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