Just to be clear what I'm saying, I'll use 'shoal' to describe a group of fish, hanging together...and 'school' for a group of fish moving in the same direction. Having got that out of the way...
I'd love to have the space for a 6' tank and have several shoals in it, knowing that said shoals will school.
Whilst you've observed your fish schooling in 1-2' patterns, I'll assume that your shoals are distributed throughout the tank? To be sure, you might be able to pack them into a 4' or even 3' tank, but where's the joy in that (for the fish)? The extra space gives them opportunity and stimulation, which is A Good Thing and avoids overcrowding, which would immediately reduce the desire of your fish to spread their fins.
If you enjoyed running, it's like you've been given the choice of running around the inside of a games hall, or running around a larger municipal park. For sure, you might only run the same actual distance in each of those venues, but I suspect the outdoor circuit would be preferable. This has nothing to do with intellect, or imagination, or any of our other higher functions...it's simply a basic and instinctive need for space and freedom.
Fish may not be the sharpest tools in the box when it comes down to brains, but their instincts are finely honed.