Would it be likely these three locks use the same key?
No...this is just an example of why there may be different tubular keys...>>>
1). One lock could be for the floor attendant.
That worker would only have access to get into the machine to change paper tickets , fix a bill head jam, for example.
2). Some other worker with security personnel present, would have a different keys to have access to get into the machine, and as well as the cash box door. These people gather the full cashboxes and replace with empty ones.
3). Still another keyed lock or two could be on the cashboxes themselves, where further different people would have the keys for those in the counting room, but not have keys to open a machine door.
4). Sometimes there are other locks with different keys that would be on the MPU enclosure for a more qualified service technician that would have access to the chips and software.
Now you see why there really wouldn't be any "standardized" keys.
All of these keys are differently numbered and cut.