Why is a lower woofer->crossover frequency better?

I've heard that when crossing over from car woofers/midranges to subs to try to go as low as possible, like 80 hz. Why though? Personally, I'm planning on installing small 6.5 subwoofers in the rear doors and I feel like a higher crossover point such as 120 hertz would be more appropriate because the subs would be more suited to handle 80-120 hertz, right? Plus, wouldn't the woofers/midranges be able to play cleaner? Or am I making the wrong assumptions?
 
In a car, a woofer can produce a peak at about 100Hz that sounds awful. I generally set the bass at about 80-90Hz and the highs at about 120 as starting points. Most all crossovers nowadays are electronic and infinitely adjustable so if those numbers aren't quite right a quick adjustment gets you what you prefer.
 
In a car, a woofer can produce a peak at about 100Hz that sounds awful. I generally set the bass at about 80-90Hz and the highs at about 120 as starting points. Most all crossovers nowadays are electronic and infinitely adjustable so if those numbers aren't quite right a quick adjustment gets you what you prefer.

So if it produces an awful peak at 100 hertz, wouldn't you want to crossover higher though to avoid the peak?