I must be either the first person to notice this or the last. I always noticed Kirk's animated gestures during the Season 3 intro, but only recently did I realize that (I'm pretty sure) that they actually just used the same single take of Kirk swinging on the rope and landing in the Temple courtyard and introducing the show for every episode of Season 3.
Where it diverges is once Olmec reveals the name of the artifact/Legend, which you'll notice he always does with an extreme closeup. They would have been able to get away with this because of Season 3 utilizing the same temple layout for the entire season. I also believe the voiceover of Olmec running down the temple rooms is the same exact voice track used over and over.
Again, I feel like someone else had to have noticed this before, but it really just now clicked with me. Either that, or Kirk is REALLY good at mimicking the exact same hand gestures, body language and voice inflection. But based on the number of "Fogg ups" normally seen throughout the duration of an entire season, I doubt that was the case.
Sorry if this had ever been discussed at length previously.