I remember my first foster that got spayed liked to sit on top of a single bed I had on its end, so 6ft tall - I split it so she couldn't be tempted - she went on the wardrobe (which was higher!!) instead, pulling her collar off in the process. Luckily she made enough noise, as it was after I went to bed. The second foster was hyper to start with, but more hyper for 2 days, if she didn't have a bald patch and collar, you would never have known!!
I am surprised they are recommending a collar with glue though, seems a tad extreme, the idea is they aren't as bothered with glue.