The page number joins the filters in the URL, which is already the single source of truth for what the storefront is showing. That is the whole reason numbered pages were chosen over infinite scroll: a page is a place you can send someone, and a scroll position is not. The page size deliberately does not go there — it is a preference belonging to one person, and putting it in the URL would mean sharing a link to an item also imposed your page size on whoever opened it.
Changing a filter returns to page one, and it does so for free: filtersToSearchParams builds a fresh URLSearchParams, so applying filters drops the page parameter while goToPage copies the existing params and keeps the filters. That is behaviour worth having rather than an accident to tidy up — landing on page seven of a two-page result is a state a customer cannot get out of without understanding the URL.
The control carries the total, because showing the count was a requirement in its own right and the only count that existed before this was on the filter drawer's "Show N items" button, which is hidden whenever the drawer is closed. It is therefore shown even when everything fits on one page: hiding the control on a single page would hide the count with it.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>