If one moves to the new Apple Silicon of whatever configuration and type - be cautious able using Migration Assist to move all the previous software, extensions, Application etc over to the new machine.
1 - one must factor in the differences between Intel Based and Apple Silicon based computers
2 - any unresolved issue existing when the Time Machine Backup was made of the Old computer may migrate to the new computer. This would effectively negate an otherwise Pristine and Virginal installation of Monterey.
3 - though the old may be running the same version of macOS - Applications are best installed directly from the Developer versus migrating from the old system
4 - IMHO - if using Migration Assist to setup the new Apple Silicon - suggest only migrating the User Account and nothing more.