I first drop them on a second calc, but it only works if you own two calcs, then on the computer ungrouped. However, I am uncertain this will fix the issue, because I did have corruption with Illusiat 2004 files, too, before.
My suggestion is to keep copies of your files ungrouped and grouped on your calc, then send only the ungrouped files. Once on the PC, test your game in WabbitEmu. if it fails, retry another transfer until they work fine in WabbitEmu. Before attemptuing to send the groups, make sure the ungrouped files on calc are intact. If not, then ungroup them, then send the groups to your comp. Idk if sending files grouped or ungrouped will make a difference, though. It's just that sometimes TI Connect corrupts all files when sent to the PC. Strangely enough, I never heard of this happening until maybe a year ago. Could it be due to recent Windows updates?