You may be caught up in the USB 3 system naming changes. Right now ALL of them are USB 3.2, but three Gen's of them.
USB 3.2 Gen1 is the original USB 3 that can transfer data up to 5 Gb/s and uses either the new USB3 version of a Type A or Type B connector, OR the newer Type C connector. The mobo header for these (two ports on one mobo header) is much bigger than the older USB2 header, and typically the cable that plugs into that has a large blue connector.
USB3.2 Gen2 is the faster version that can do data transfer up to 10 Gb/s. Although technically it can work with a Type A connector, it is recommended that you use a Type C connector to be sure of that speed. The mobo for this looks quite different and is called a Type E socket requiring a different cable connector. There are some consumer devices that can use data transfer at rates between 5 and 10 Gb/s.
USB3.2 Gen2x2 is the latest version that can do data up to 20 Gb/s, and can only be used with a Type C connector. I believe it also uses the Type E mobo socket. Right now I do not believe there are any consumer devices that can transfer data this fast.
My search found no modules like you describe, either. And none of them use this new naming convention. Some use the previous convention of USB 3.1 for what is now the USB 3.2 Gen1 connections, and some are still calling that USB3. Those usually had both Type A and Type C sockets on the panel, and often had separate USB 2 sockets and cables,too. I found ONE unit that had a USB 3.2 Gen2 cable with the Type E connector on the mobo end and a Type A socket on the panel, as well as a cable and Type A sockets for USB 3.2 Gen1, but it did not have any card reader in it. It was named as a "USB 3.2" module.