Microsoft recommends replacing relic from old .NET Framework with Blazor, but you can still do ASP.NET Web Forms apps in Visual Studio 2022 if you want to, with a couple tweaks.

Currently, reusing web forms and user controls in multiple ASP.NET projects requires copying the associated aspx and ascx pages. You can put web controls in separate assemblies, but you lose the ...

Though ASP.NET Web Forms isn’t part of the vNext initiative it isn’t being ignored. As part of Visual Studio 2013 Update 2 it has picked up some new tooling, EF integration, and Roslyn support.

However since web-forms is an intrinsic part of ASP.NET and the .NET Framework, the new await support will be available when vNext versions of the overall .NET Framework are available.