No, you don’t require a USB 3.2 Gen 2 to USB 3.2 Gen 1 adapter.
No, you don’t require a USB 3.2 Gen 2 to USB 3.2 Gen 1 adapter.
You're starting from scratch with PC building and PCPP is suggesting a specific USB adapter. Your motherboard already has USB 3.2 Gen 1 ports, so you likely have the basics covered there. The specs of your case aren't listed, which makes it hard to confirm compatibility. If you need a USB 3.2 Gen 2 to Gen 1 adapter, it's probably because the newer ports on your motherboard might not support the faster speeds directly. Check if your case supports USB 3.2 Gen 2 or consider upgrading to a compatible adapter for better performance. It’s worth verifying the exact requirements before purchasing.
PCPP isn't completely reliable. For instance, in my ITX configuration it indicates the cooler won't fit, yet it does. That's clearly one of their major oversights, since both USB 3 headers can be Gen1 or Gen2 and it has nothing to do with the connector. USB 3.2 Gen 2x2 or USB 4 should only function through the USB-C header, I think.