Will CFW bypass PS3 Data Transfer Utility limitations

Long story short is my PS3 slim died after house was struck by lightning. I had about 200 Singstar song downloads that are now gone. I repaired my old PS3 fat and recovered about 130 Singstar songs. I figured it would be easy to transfer all this data to a more reliable PS3 slim but the DTU has limitations specifically with Singstar purchases. The Singstar store no longer exists and it is impossible to redownload these songs.

From Sony website -
Limitations of the data...

Will CFW bypass PS3 Data Transfer Utility limitations