IIRC, AMD licensed and used one the ASMedia USB 3.x controller designs in their Ryzen chipsets, so you won't see as ASMedia, but rather as a AMD chipset controller. Motherboard manufacturers would often add additional USB controllers to boost the number of USB ports.
It was speculated that it was the ASMedia design used, was the root cause of some users experiencing dropped USB devices, especially when they used some sort of VR headset on the USB 2 and USB 3 ports on their systems.
Having used a number of ASMedia based USB devices and controllers in the past, always had mixed results with them. Some are great, zero issues with, others, well they were extremely problematic when stressed with high load.
At work, we were testing a number of different USB to SATA bridges, and we a number of devices (with the same ASMedia USB-SATA bridge chip) that would drop the USB device (we suspect the controller was resetting itself), when we exceeded a number of concurrent IO with large block transfers (think 32+ concurrent IOs at 1MB each). Other devices with a different ASMedia USB-SATA bridge chips worked perfectly fine under the same conditions.