Not anymore.
Sept '07 we bought DS a pirate hat, then went over to the Pirate's Lair. Left the stroller on the mainland, with the hat under an old ratty sweatshirt. Got back, hat was gone.
This isn't stroller-related, but in May of '08, we'd bought DS an age-INappropriate (or rather size-inappropriate) build your own lightsaber, and on the 2nd day, it was so heavy he must have put it down. We had it while he was drawing at the PFF (when they had coloring pages), and 10 minutes later in ToonTown it was gone gone gone. We had stopped at the benches in TT, and he must have put it down there...when we went to look for it a few minutes later, it was gone forever. Never was turned in.
And on this trip, DS was given a simple and free balloon that he wanted to take into the parks on our second day. So we did. And I was informed that balloons (even small ones whose helium was leaking out) aren't allowed on the rides, and I would need to leave it on the stroller. So I did, and haflway into the day, we came back to the stroller to find it, too, was gone. It hadn't come untied, rather, someone took the tied balloon off of the plastic balloon holder thing...plastic and ribbon tie thing still on the stroller, balloon GONE.
I don't leave anything anymore, and won't be BUYING any balloons either, if a simple free one can't last on a stroller.
I cannot believe what people leave on strollers. If I were a thief I would never have to buy my kid clothes, diapers, food, toys...I could have more Petunia Picklebottoms diaper bags than I'd know what to do with. It is astonishing to me what people get away with considering the money they are leaving on their strollers...