No, it does not make your offsets big. Since you are always giving a precise key (or keyprefix) to start the retrieval (both at the time of first search, as well as in the continuation pages), you will not have large offsets.
Offsets are used to jump forward/backward n positions from a given search key.
I have not come across a good use case myself for using large offsets - probably one usecase could be to directly get the nth person on the leader board after/before a given person…