Your confusion is that visual studio supports lots of environments (languages, runtimes, sdks). Many of the environments have designers or toolboxes.
The toolbox you are trying to use is for the asp.net .net 4.* webform projects. Webforms support was not ported to the newer .net core framework, and can not be used with .net 6 projects.
asp.net net 6 uses razor pages, and currently there is no designer or toolbox support. Your error is caused by the toolbox code checking if the required webforms library (system.web.dll) for its code generation is installed in the project. As there is web form library for asp.net core, you get this error.