They might not be perfect, but they’re fairly well-made, not particularly expensive, use standard USB and ... original Xbox controller to work indistinguishably from a stock Xbox 360 controller.
While many gamers still prefer the Xbox 360 controller to its modern counterparts ... and Xbox Elite Core Controller) all use ...
or connect a USB storage device. Turn on your console and then download your profile. If the profile gets downloaded on another storage device, the problem is with your Xbox 360 hard drive.