Save data is also under the 240 limit and if this is hit you will not be able to start any new software after as it will just boot to a black screen
I found that while testing games and my xbox refused to boot anything further after the limit was hit, deleting the saves folders did not help anything so it must store something in another location or even a database of some sort that I never found either way you can start anything new after hitting the limit, I done a bit of digging to find out what the issue was and found out what the limits are of that file system
I have noticed you can have more files on a hdd than the limits describes but those files are not fully readable either same as you can exceed certain space limitations but all files past the limitation although physically there on the HDD are also not readable by the xbox itself
I can't say I felt the need to test dummy saves myself but that is indeed interesting that having random saves there that don't link to back any real software can be there and still allow over the 240 limit, but doing so naturally hitting over will make anything new to that system just boot to a black screen as the data can not be created