Hard-drive to Save Xbox games on Xbox 360 games

This is from the Xbox page.

Transfer the fun to your new Xbox 360®. The hard drive transfer cable moves content from any Xbox 360 or hard drive to your new Xbox 360 S or Xbox 360 hard drive. Easily transfer HD movies, music, saved games, player profiles, and even full games installed
on your hard drive. Plus, use the cable over and over if you choose to get a new console or hard drive again in the future.

Hi

No you can't transfer you Xbox 360 game saves via a hard drive you will need to use an Xbox 360 to transfer the game saves to the cloud once you have done this your Xbox One should then see the game saves.

The Transfer cable is designed solely to move data from one hard drive to another. It is not designed to extract certain saved game files in order to play them.

If you want to play a saved game from that hard drive, simply install the hard drive onto your Xbox.

<edit> I just realized you that you are asking about an original Xbox game. The transfer cable will only work between Xbox 360 hard drives. They will not work with original Xbox hard drives.

And here a food for thought. Why is it that when you play classic Xbox games on the 360 why it saves to the hard drive with a added patch BUT you cannot do the same thing with 360 games on the Xbox one or Xbox one x, why not just have a simple extra patch
that allows you to save games to the hard drive of your new console?

the cloud will save profiles and game saves so the game install is all that goes on the hard drive for me its no worrie i still got 38GB left on my hard drive atm and iv had a xbox 360 for 6 years never needed a bigger hard drive