No. The open source drivers are better at almost everything. The only reasons to use the propriatary one is if you need some OpenCL improvements of if you are using a Radeon Pro GPU. For normal usage and gaming the open source driver will offer more performance and better compatibility.
I honestly don’t realy know. The Arch wiki says that there are some differences with AMF and OpenCL but I don’t know how up to date that information is.