There is a mitzvah to get married we know from the verse, "Be fruitful and multiply."(Genesis 1) And it is listed on every list of the 613 commandments. It shows up on the list of the Sma'g [Sefer Hamiztvot Hagadol] and Sma'k(Sefer Hamitzvot Hakatan) and in Maimonides and all those who counted the mitzvot. Well, so is learning Torah. "And thou shalt teach them to your children and speak of them on the way and when you sit in your home and when you get up and when you sit down." Deuteronomy 6
Now you can help someone else get married and that is a kindness. But it does not mean that now you don't need to get married. Similarly you can help others learn Torah, but that does not mean you have fulfilled your obligation of learning Torah.
And we know that any public institution has pitfalls. But when you are at home and you are learning Torah then there is nothing between you and the Torah at all. You are getting the information directly and you are not dependent on any other person. And often institutions that are built for certain purposes can become obstacles to that very purpose. I used to have a theory that this is in fact always the case. Every institution eventually turns against the very purpose for which it was made.