Yes, there is always a failure mode. But if do a search or have some result set, it is convenient to have paging work as close to expected as possible.
Say you are processing/shipping orders. You do the first page and then advance to page 2. The very next order may no longer be the next order that would have shown depending on how many orders came in. In fact if order are coming in fast it will be impossible to page through a search result. But if you incorporate the last I’d seen you will get something closer to what the user expects. Naive offset won’t give you this.