Depends on who you ask :LOL2:
If the hull is riveted, you probably won't have carpet on them or long (assuming you use it alot) as most trailers I see in the parking lot have the carpet either ripped or hanging off the bunks. If It's welded, well it should hold up longer, but I assume that some of the corrosive properties could still weep its way from the carpet on to the hull. If you have paint on the hull, all the less likely.
My boat is riveted, and I used pressure treated on mine with rubber backed carpet, but I applied Steelflex to the bottom of the boat. I'm fairly certain I'll be ok.
If you haven't bought the wood, I'd say buy untreated and seal them yourself.