I parked my Bugaboo all over WDW last week and didn't even think twice about it, even though I was a little apprehensive before the trip about it.
I will tell you this though - while that stroller is awesome to tour the parks with (so smooth to push and turn, easy to reposition child out of the sun and tilt to recline, very comfy to nap in, etc.), it was a bear on the busses. Even one of the bus drivers came over to mention how difficult these strollers are whenever someone rides the bus with them because you have to take the seat off and then fold the chassis and carry two stroller pieces on board. You have to get your child out of the stroller way before the bus comes to be able to get it all apart in time to board. Our new rule - unless we are staying at an Epcot resort where we can roll the stroller on the boat and only have to deal with it to go to MK (we usually don't do AK) we will take another stroller. It wasn't worth the trouble.
ETA: The other downside of this stroller is at the security tables. Because the underneath storage is a drawstring bag, the guards had us open it and move everything around to be able to see what was in it. One even asked that we take DD out to get to the bottom!