For aspnet-core-browser-refresh, can you please file an issue at https://github.com/dotnet/sdk, as that's where that code lives?
For Browser Link, I can tell you that right now there's no way to disable those messages in a .NET 6 app without turning off CSS Hot Reload as well (you can turn verbose messages off in the console so they won't show, but they'll still be emitted). If you are ok turning off CSS Hot Reload, you can do that in Tools->Options->Projects and Solutions->ASP.NET Core. Please file feedback at Developer Community about this as well so we can potentially make this more discoverable.
That said, I'm curious why you think this might be interfering with your SignalR connections. If there is interference there, we definitely want to address that as well, but I'm not sure off the top of my head why that would be.