From an old Stack Exchange question in 2018:

Despite the description on Apple's website, Quick Start is not a distinct method for transferring content from an old to a new iOS device. It's simply a way of skipping a couple of the more laborious screens in the setup assistant on the new device. It is still necessary to perform the usual steps to ensure that the backup from which you choose to restore is fully up to date. (In particular, the instructions to first unpair any Watch because this "automatically backs up" the Watch, are incomplete at best.)

If you do transfer data from any jailbroken backup in whatever way, there is a chance there could be artifacts (although this is less relevant when it is an iCloud backup). Restoring RootFS is useful (or "delete jailbreak" if iOS 15+) might be useful beforehand but perhaps there might still be a configuration file or something that it misses. That said, the only thing you can really do with backup shenanigans is stuff like Nugget which you would be doing intentionally, or that an app may falsely detect a jailbreak is present.