You wouldn't necessary need it to be in the hotel room. You sneak in, take a picture, have the lab down the street reproduce it, come back in a half hour and make the swap.
That's also assuming you would actually need that level of sophistication. It's plausible that there is a level of printing technology somewhere between "crappy inkjet" and "semiconductor fab clean room" that could still fool a phone camera.
There is also the possibility of accessing the inside of the machine without tearing the sticker. You think they're going to disassemble it by removing the screws, but they actually disassemble it by slicing off a section of the case with a sharp blade and then epoxying it back together. Or make their modifications through the cooling vents.
And that's really the other problem too. If you don't know how they're going to do it, you don't know what to look for to detect that they did. Your sticker is intact so you're safe, right? Right?