mine yukon is misfiring and sputtering like crazy during the first start of the day but after it warms up its fine the rest of the day. i changed the plugs and wires, feul pressure regulator, had a fuel pump failure and changed it, and a few days ago it threw the p0420 code. if it was the cat wouldnt it make a loud "rattle can" noise. i have used the rubber mallet to bang on the cat to see if it rattles but i got nothing.
IF you really want to test the cats efficiency, go to a state inspection place and pay them to test the exhaust with their equipment they use to test pre96 vehicles.
Chances are good that both of you have clogged cats.
B