Just want to say thank you for all these testing, I am actually trying to fit a registered laser scan cloud inside Metashape, but all this seems to go a little too far. I've been reading through all the posts, I've been lost a couple times, and my conclusion is: Metashape is treating laser scans as photogrammetry and that's not good at all, since it's a whole different thing based on direct measurements and not triangulations.
For the times to come, until Metashape is ready (because I'm sure it will be), I'll keep doing the way I do it right now: E57 file from Drone and E57 file from Scanner, both in CloudCompare for the alignment.
Thank you to Dieter and Paulo for the in-depth tests and to Alexey for the support.