Apple does not publish a cap for this, and nothing in the Home or tvOS documentation mentions 16. A cutoff at a clean number like that, identical across five Apple TVs of different generations, has the shape of an internal limit being hit while the view loads the camera list, which makes it a bug report rather than a settings problem. A few checks that would pin it down, and that are worth including if you file it in Feedback Assistant:
1. Is it the same 16 cameras on every Apple TV, including the Gen 1 on tvOS 26? If the older software shows the same cutoff, the limit lives in the shared home data or the enumeration of it, not in tvOS 27.
2. What defines the first 16: the order the cameras were added to the Home, their room order, or their type? Specifically, are the 16 a mix of your native HomeKit and Home Assimeras, or does the cutoff line up exactly with the split between the two? If the bridged ones are the ones missing controls, the bridge's camera profiles are the suspect instead.
3. Do the room assignments matter: the controls shown with a camera are for accessories in the same room, so check whether camera 17 onwards are in rooms that have lights or locks at all, and whether moving one of the working cameras' accessories changes anything.
If the first 16 are simply the earliest added, regardless of type or room, that is the enumeration limit and there is no user side fix, the report with those three data points is what gets it in front of the right team. Homes with more than 16 cameras are rare enough that a limit like this could easily ship unnoticed.