They include several types of outputs, so you can send a different signal to your monitor mix, if you want, and add reverb, delay, chorus type units, etc., to your sound. If you own a human to whom you can pay money to carry heavy things, you can travel with your own rack of unlimited effects. A combination of signals often helps to mask the down side of each. The true colors of a bridge pickup by itself are dreadfully apparent when heard through a TV speaker - a thin, quacky sound. A well placed internal microphone together with a bridge pickup can squeeze through sounding fairly realistic.
Television is probably the worst case.
Television producers, with the exception of a cherished few, couldn't care less about sound. They will have you working through a microphone clipped to your shirt collar to pick up both your voice and guitar if you're not assertive. The whole rig is so small it fits in the side pouch of my guitar case, cables and all. I keep it very simple. Incidentally, if you are a believer in the floor box stuff, be aware that your sound is at the mercy of the condition of the 9 volt batteries inside the units.