Where are we using ASP framework in ASP.NET MVC or ASP.NET Core MVC?

So in ASP.NET MVC or ASP.NET Core MVC application we use:

C#.net - Class files.

MVC.NET - Routing, Model View Controller type environment, Attribute routing, Html helpers etc.

Config files - XML

Views - Razor

But where are we using ASP.NET?

Note: Before we used ASP.NET view engine but now it doesn't support. 

Is there any specific classes that are in ASP.NET library?

If no don't you think the name should be of type .NET MVC or .NET Core MVC so that it makes sense we are not using ASP.NET?

If yes why cant they put those required classes, interfaces etc into MVC.NET so that it makes sense we are not using ASP.NET?

I mean because of having ASP.NET it means like usage of <asp:stuff>(at-least for me) which we are not using.