I'm trying to remember the context of the two different dialogues where these lines were spoken; I made notes of the sentences but it's been a couple of weeks since I read the original context. Nevertheless, I'm thinking this is a very insightful observation. The いて was, I believe, probably spoken by someone in the service industry like a waiter, and the non-いて was probably spoken by an 駅長, who is certainly more of an authority figure, and deference to the listener would be less pronounced. Thank you for this!