My kids are typical "overscheduled" teenagers. There's music lessons, orchestra, sports, choir, etc. There's going outside before it gets dark.
This is going to sound weird, but we deliberately put some of those things at a higher priority than homework. First of all, the scheduled activities happen when they happen. Second, some activities take more mental focus, it works best for those things to be done first. Third, activities such as music come before homework in terms of their value -- they represent gaps in the school curriculum, that we are filling in ourselves.
So, homework can come last for good reasons. Also, some activities require awake parents. ;-)
Now, about the 1am thing, that only happens roughly once a semester due to an exponential distribution of homework assignments. Each teacher assigns homework, apparently at random, and they don't organize or coordinate it, so the late nights are usually due to a confluence of multiple teachers each giving out multiple assignments at once.
The island of stability in that sea of chaos is math. The math lessons come home at a steady, predictable rate, and none of the work involves a computer, so it gets an early time slot.