You run the risk of the bike getting bumped into gear at which point you might start dragging the tire down the road in a skid. I have a 1 1/4" hitch on my Subaru and I'm really trying to think of a convenient option to tow the TW. I own a trailer, but it's a pain to deal with to just haul a bike. I'd remove the chain while using a hauler of this style just to avoid the transmission issue. On a bike like this it's safe to run a clip-on master link which makes chain removal pretty quick.
I've used Versa haulers like so to carry Vespas on my Jeep hitch.
It worked fine, but I didn't trust it to not let the bike shatter my back window in a panic stop situation.
They sell cheaper versions of what you're looking at, made from steel (about half the price.) I think the important part is having that bar with your strap attachment points be strong enough to not bend or flex.
Personally, I have never seen anyone using one, but I'm also intrigued to hear from other members. The TW doesn't weigh too much, so I can't see why it'd be bad to use one of these.