Although I was in pit for 4 years in high school, I can (sort of) see where the original poster is coming from, at least in regard to the part about running laps. If the rest of the band must participate in a mandatory activity like lap-running, the pit shouldn't be excluded just because they don't march. For example, my high school pit practiced outside with the rest of the band, had the same number of water breaks, and we even marched in the homecoming parade every year.
But as others have said, the pit/battery comparison doesn't hold up; with all the different instrument sections, it's impossible to hold everyone up to the same standard.
That reminds me of my "pit-mantra": since we don't march, we can work twice as hard on our music!