That's an interesting point. I thought the main reason I was involved in the take-down stuff was cuz I'm a control freak!
But really, I hardly had to think about it - the staff boxed up our cake knife, guest book and cake. I had already told my MIL that we would need transport for these things, so she pretty much took over.
If you are staying at the resort where your reception is, it's much easier - the staff boxes stuff up and Bell Services takes it to your room. But we were staying at a different resort, so we had to transport it ourselves.
I think if you want to not worry about the details, you don't have to. I just like to be in on everything.
Disney does so much for you, it'd be a shame to have to pay another wedding coordinator just to transport items back to your hotel.