I find that amusing, as your group work description really looked like it didn't have anything to do with the MBTI types. MBTI deals with how you think, not how lazy/motivated you are.
The lazy/motivated thing has been done before. And it's always been disastrous. "Type matching" is a bit different. As I said, for my particular type (ISTP) not any opposite-ish person would do. Most annoy me, and bother me to no end. Yet, there was a particular type of outgoing person, that nearly instantly transformed who I was and allowed me to just "be". I tended to get along best with those people.
I knew about this weird matching thing before I had heard about MBTI. I figured I just might be a bit weird, as most of my other friends would prefer introverts (and I do too, for the most part). Which is what the "type matching" also says. It basically says you are going to work best with people who share your I/E and J/P traits. J/P refers to how organized&focused the person is. J would probably be someone like you, where you just want to get the work done, and generally take the leader role. I'm a 'P'. Which means that hard as I try, it's in my nature to put off decisions and leave options open. That's just the type of person I am.
I've been recently trying to stick to a schedule recently. You know what happened? I say "yea, but I don't really have to do that, that's just something I set up for myself". And then I end up pushing it off, since I could decide to really do something else. If I were in your group, I'd probably be cast as the "lazy" guy who didn't do shit. Yet, when the time rolls around, I end up getting more work done than anyone else. Because it's not that I'm lazy, it's that I keep my options open until the last minute and then panic work.
I find the typing system to be particularly interesting, as it seemingly describes everyone I've ever met, with pretty good accuracy.
It's matter of personality.
they would combine people with opposing qualities, and thus create a group that was good on multiple facets
This group would fail. The two sides would tire each other out due to clashing personalities, and ultimately decide to work in two fundamentally different things (depending on where the divide was drawn). For work, the best would be similar work habits (I/E and J/P) and different thinking habits (S/N and T/P). That'd create the most flourishing development. For relationships, you'd need someone to help with the parts that you struggle with as well as someone that keeps you interested. Which is where the ideal matching comes from.
Myers-Briggs is the same for me. I'd much rather spend actual time talking to people to find out who they are than to have them take a test. The philosophical discussion that you had two days ago tells me much more about who you are than ISTP ever would.
I'd find it the opposite. Sure, the philosophical discussion I posted shows you how I think. But it doesn't show what type of person I am, or how I go about doing things in general. I find it particularly difficult to get to "know" someone based on what they write. As I (as an ISTP) tend to separate what is being said from the person. The idea is the idea, nothing more or less. That doesn't tell me what type of person you are.
One example (that I didn't quite realize myself until recently) is that I was suppressing my "S" in my MBTI type. As a kid (and still a bit now) I'd readily test/experiment with senses. One particular incident caused me to push myself too far, and I ended up getting hurt. Other times I'd just touch everything (which other people with sensing tend to do). I actually got sick because of it.
Myers-Briggs actually says a lot about the person. Sure, you can't learn everything. But it's a great perspective (IMO) into another person's mind. And in terms of MBTI, my Fe is low, (unconscious almost) and I tend to miss what is said nonverbally as well as what's said emotionally. Sure, you could've picked that up had you known me long enough (or just met me and saw how "cold" I am). But something that you (or hardly anyone else) would know without MBTI, is that I do have an Fe, and that it comes out rarely. But it bursts out, generally thrashing about like a little kid. If you've known me for a few years, you might see it, but generally not, as it's a part of myself I generally like to hide (again, another trait of ISTP).
So it's not something to base all of your actions on, but I think it provides a great insight on people and how they behave. It also explains a bit why I tend to hang out with the people I do, and who I find attractive.
But perhaps your disinterest in MBTI is why you'll be baffled when for the most part I'll avoid outgoing people like the plague, yet attract them and in some cases actually respond positively rather than my snarky cold usual exterior.