No, USB 3.1 Gen1 headers are not compatible with 3.2 type-A USB ports.
No, USB 3.1 Gen1 headers are not compatible with 3.2 type-A USB ports.
You're connecting your case's front USB to your motherboard and considering the NZXT H500 ATX Mid Tower and MSI B360 Gaming Plus.
Are you referring to the H500 or H510 model? The H500 supports USB 3.2 Gen 1, while the H510 requires USB Type C with a dual header. Your device only features the blue/larger header, which matches the H500 specification. Short summary: if using the H500 case, your board is compatible.