Why do people prefer stopping on airport walkways over stopping on regular floor, even when time lost is identical?

Not sure if behavioral economics questions are allowed here, but I noticed something today at the airport that felt like a clean little paradox.

People almost never choose to stop and rest (or tie their shoelaces) while walking through a terminal. They’ll keep moving even if they’re tired, need to check their phone, adjust a bag, tie their shoes, etc. But the moment they step onto one of those automated moving walkways, a lot of them immediately stop walking and do the fixing they were delaying.

From a simple time perspective, this seems irrational. If you stop for 30 seconds to tie your shoe on the normal floor vs. stop for 30 seconds while standing on the moving walkway, the delay to your arrival time is identical.

But behaviorally, people seem to strongly prefer wasting time while still making progress over wasting the same time while stationary.

Is there a standard explanation for this in behavioral economics?