Difficult question to ask, but can the firing of s.t()tracking links increase the count of visits, without the increase of page views? Is that even possible when the tracking links are on a page.
The only situation where visits can be increase without increasing the page views is if you have s.tl() calls implemented. Below is the documentation for the same.
The s.tl() Function - Link Tracking
On a page load if s.t() call is implemented then Page view will fire along with increment of visit.
However, due to any reason if only s.tl() is implemented then pageview will not increment only visit will increment.