If you want a high speed usb3 drive, you have to buy one.
Direct solution is this one but if you don't want to buy high speed usb3 drive then bear with the current speed available.
Many slow usb3 drives are still being sold. That a drive is a usb3 drive does NOT mean that the memory inside the drive is actually any faster than an usb2 drive.
You are right, each USB had it's own write speed. Some USB had more speed to transfer from USB to computer but slow to write when from computer or laptop to USB.