Possible reasons for corruptness
HDD has not been formatted correctly so less space is readable to what has been used (Not sure this effects mod chip users)
HDD is full so the last few games have only been able to copy some of the file but not all of the games data files
Save count has reached it's limit so no more saves can be created
File/Folder depth has reached it's limit
HDD copy of game has not been correctly fixed to run from HDD
Data has become corrupt when it was originally copied
I only have 2 xbox's a 1.6 and a 1.2 or 1.3 (it detects as a 1.2/1.3 so not 100% sure) anyway both are PAL and both read CD-R & DVD+R just fine, they both struggle with DVD-R and RW's (all media types) though, make what you want with that as it is only with 2 xbox's it may be that version 1.0 has a drive that is pre DVD+R, but I wouldn't know one way or the other there, RW read issues is not an unusual thing though for consoles.
RW's do read though, but seems to be at a slower rate and with a higher chance of read errors, I found the same with DVD-R's, the better ones, more with the 1.2/1.3 DVD drive less problems with the 1.6 but still issues with the 1.6 drive that I now use in the 1.2/1.3, then again I find RW discs are not that reliable for very long anyway in general