If they ever stop to think about how to play well, they will soon discover they can win by playing worse moves faster.
Just a little basic strategy with the clocks will trump a lot of play skill on the board.
The only way it can stay the way it is now is if they never think about it much. Which is dumb.
Imagine candyland or monopoly was played with clocks and whoever moves faster won. That would be a terrible game for new players. And if they don't understand that the clocks matter, it's in a very precarious position: the moment one of them reads any strategy guide or thinks about it, their game will change itself against their wishes.
They are playing with a ruleset that makes something the most important part of the game, then ignoring it in their actual play. The ruleset doesn't do what they want. It's the wrong ruleset for them.
It's much easier to win on the clocks than learn chess. They are all easily smart enough to do it. It isn't very complicated and doesn't take long to learn.
I don't think if they knew how completely broken there game was they would be advocating it to the internet. The internet has people who know how to play bughouse, the internet will destroy their ignorance which is the only thing keeping their game working.
None of this has anything to do with being super-competitive. It's just the easy, lazy way to win: by focussing more on the part of the game that's easier but also more important.
This problem is fixable. They could set up clocks so if you don't make a move within 30 seconds on a board, you lose. After moving you reset to 30 seconds. With that system they will have some time pressure to keep the game moving, and there also won't be a simple easy strategy that completely dominates them.
You don't have to be super competitive to think about how to win and what is an effective way to play. You just have to be thoughtful. They are clearly thinking about chess strategy (even if they are chess beginners. chess is hard. shrug). I'm just pointing out they could divert a little of that thought to something else, be way more effective, and also dramatically change the style of the game. You don't have to be super competitive to put the thinking-in-service-of-winning which you're doing anyway to a more efficient area.
And if you want a game that you can post on your blog and suggest other people use, it needs to have robust rules!
They are setting up themselves -- and anyone who listens -- for conflict. Some people will play slowly, lose, and be annoyed. Some others will start to play faster and win all the time. One guy will say, "Don't be so competitive", the other will say, "What do you want me to do? I don't spend more time on this than you, I don't practice, I'm still just as bad as you at chess in general. Should I intentionally sandbag and not try to win? That would ruin it for me."