It might "count," but it's not half as good. It's small wonder to me that high schoolers "hate Shakespeare" and find the works hard to understand. They weren't written to be read, but to be performed!

As long as you enjoyed the work, I would say yes. While it's true that live performances give you the acting, set design, and costume design for the work, a close examination of the writing helps with appreciating the wordplay and usage of language more—as some of the elegance might be missed with seeing a performance just once (though you could pick up more if you see multiple performances of the same script).