I've extracted many a shallow or medium frame with suprlus foundation (very thin) and no wires. The more wires the better it will stand up to the extrractor, but any comb will collapse if you crank the exractor up too much too fast. Always start slow and get half the honey out before you start to increase the speed.
It's your choice. You can use no wires, just vertical wires, vertical wires and split pins, horizontal and vertical wires. All of them have their problems. The biggest problem with foundation, which the wires help with, but don't totatly eliminate, is sagging foundation when the bees don't draw it out right away.
Bjerm2 is right about the cocoons strengthening the comb, and that works if you don't use chemcicals in the hive at all. You can't move brood comb to the supers if you use any of the chemicals.