This is not such an issue now, because so much less documentation is needed. But, when they were restarting after Covid and needed a lot of different documentation, some of which they seemed to look at more than once, queues always seems to form behind people who had it all on their phone and couldn’t quite find the right one. Counterintuitively, people took less time to search through a sheaf of papers.
Anyway, won’t you have to print out your luggage labels, so you can do it all at the same time?