So, CWM saves its backups and blob directory in /mnt/shell/emulated which is not accessible via MTP. I've started using TWRP for all my new backups but I would like to copy the existing CWM backups to my PC before wiping the directory on my phone. It's currently using 8-9 GB. However, when I try to move the directory from /mnt/shell/emulated to a directory in a directory in /sdcard, the move operation ends instantly and nothing is copied. I'm wondering if the problem is that I don't have enough free space. I've got about 2.5 GB free.

EDIT: It appears that you need to have enough space to copy the entire directory before deleting it. The phone ran out of space halfway through a file copy using ES File Explorer. I guess that's why Root Explorer won't allow the move to begin.