They're remarkably heavy and bulky, so I would think you'd get tired of carrying it before long. And in order to fit in Mr SizeWise, you'd probably have to fold and roll, which would likewise be cumbersome.
Or so I presume. I haven't tried to take it to the airport, and its been a while since I even carried it in to work, where it proudly sits, welcoming visitors to my office. (It is, it turns out, a remarkable conversation piece)