I'd like to know this too - all my apps run in custom mode rather than on the host IP so they can each have their own IP address, and be automatically routed through my VPN which is running on my firewall. (It's more reliable than running a VPN container on my unraid server).
It sounds like you didn't stop your Docker and VM services before you ran the mover - so it left the in-use files on your old SSD.
It sounds like you're sorted now, but for future reference, mover won't move in-use files - so ensure you've disabled VM and Docker before you use mover to shift the data off any cache drives you're planning to replace.