Yes, that's what they're saying. It's just that you're not very interested in formulas to compute 2. They've just given us a bunch of different ways to compute

Yes, that's what they're saying. It's just that you're not very interested in formulas to compute 2. They've just given us a bunch of different ways to compute pi. Most of them aren't interesting. They show that there's an interesting case where λ=infinity; it condenses down to a nice well-known formula. It would be interesting to evaluate it at λ=0. Are there any other interesting cases? Probably not. But it does give opportunities to recognize "Oh, if I set λ up like thus-and-such, it resembles that formula over there". That's how you end up finding connections between seemingly unrelated fields -- like the way ellitic curves resulted in proving Fermat's last theorem.