So you’re planning on sourcing your own kiosk from somewhere and running data gathering on that? Do I understand that right?

No. But for answering my physics question it would not matter either way whether I own the kiosk.

My question is also general. There are different kiosks for different purposes by different companies.

Did you check whether you can just directly address the same API that a kiosk would talk to?

I do not control any of the kiosks that have the data of interest. And even if I did they would likely be running closed-source software. I also do not control the network that any of the kiosks are attached to, so no chance of probing the traffic to discover their API calls.

The APIs that the kiosks use could potentially be the same undisclosed/opaque API that their website uses – we can only guess. But there are prejudices involved. The kiosks likely get different treatment for a number of reasons, based on their IP address, user-agent string, authentication creds, etc. I have never seen anti-bot junk on the kiosks that sell travel tickets. If I were to discover how to masquerade as a kiosk on some particular network, that’s a lot of work for a solution that would then only work on one particular vendor’s kiosk. It would be too specific to work on kiosks by other suppliers. Having a machine use the kiosk human UI would easily adapt to any kiosk.