The Bazaar will figure it out in theory. Would need to test and confirm, but in theory, the reason to say uninstall+reinstall is because the manifest url is wrong so checking for updates will always fail.
The Bazaar handles the ‘check for updates’ differently, and bases it on the package’s name instead of its manifest url, so that it will always give you the latest version (supported by your foundry install) and will update it accordingly.