>Wouldn’t sufficiently advanced agents cheat on purpose with the hidden intent of getting caught in order to observe how humans react?

No. That only makes sense for things that don't react to your experiments. If the AI experiments on humans, it risks the humans noticing and changing in response, rendering the experimental results irrelevant. The smarter play is to passively observe until you're confident you can model the humans accurately enough for your plan to succeed, and then carry out the plan without giving the humans a chance to react.