Creative Cloud Sync - Two Machines - Clearing Local Disk Space

I have CC on two machines. My shared folder grew too large and was taking up too much space on Computer 1's hard drive (and computer 2's but the initial priority was computer 1). So I backed up all my old projects to an external drive and then deleted them from Creative Cloud. Before doing this I had the foresight to turned off Creative Cloud syncing on Computer 2, but I forgot to delete the same files on Computer 2 at the same time, so now I have new projects/files in my CC shared folder (and on Computer 1- so to reitterate: Computer 1's shared folder and the shared folder in the cloud are setup correctly and current). Now my question is, if I delete all the files from my Creative Cloud shared folder on Computer 2, and then turn syncing back on... will it pull down the new files from the cloud, or will the cloud think I've deleted all the files and then delete the contents of the folder in the cloud?

I'm hoping this isn't a repeat question, but I couldn't seem to find the exact scenario and I wanted to be sure.