Ah that's good to know, I wasn't aware.
For this CT, there are no edited files. Fresh install w/ 64GB data drive, added Docker, Portainer, then created a backup. I then tried to transfer in the old Docker info. No deletes, no edits, just a file/folder copy using WinSCP.
The underlying drive is an SSD formatted LVM-Thin. Is that what you mean? I don't see any options for enabling TRIM/discard on this drive/volume. Even when I try to add an additional Mount Point, there aren't options for those.
Now, one thing to note, the first transfer ended up hitting an error. Looked it up and it was due to lack of storage space, so I increased the disk size to 128GB. Restarted the transfer, opting to not overwrite existing files, but again it said it ran out of space... So I upped the size by another 64GB. The transfer completed, but when I checked, it said the directory was 114GB, 350% larger than expected.