You are right.
But people argue with this and they are right most of times
Becoz Asp.net doesn't implement the MVC pattern exactly. but looks like it implements the same design.
so to clear all these arguments ASP.Net MVC has come up.
In ASP.Net MVC the structure of the project is divided into Models,Views,Controllers and the requests come to the Controller Actions or say Methods.
There are some books and articles online which will explain in detail of MVC design which emerged some decades back.
I suggest you should not much worried about if your design is MVC or not. Current asp.net design is fine to go along with your Bussiness layers and DataAccess layers etc...
If you really need to show up a project in MVC design and in .Net then develop application in Asp.Net MVC and it is easy to learn also.
Have a Great day!