In UPDD Commander we have a action called "Navigate between pages" .
To explain why, it's important to note that Apple's own nomenclature regarding swiping between pages in Safari is inconsistent and a bit confusing. There are actually two different trackpad gestures that will go back and forward in Safari. One is by swiping left or right with two fingers which produces a nice horizontal scrolling effect. The second is swiping left or right with three or four fingers, which does not have a transition, and is equivalent to clicking the back or forward buttons. Both of these gestures are called "Swipe between pages" by Apple, but internally they are two very different gestures. You can only configure a trackpad to use one or the other.
In UPDD Gestures, "Swipe between pages" refers to the second gesture that does not have a transition. The first gesture that does have a transition was called "Scroll" because internally that gesture is actually a special version of a scroll gesture.
Therefore in 2.6.2 we have renamed "Scroll to Scroll & Swipe between pages" and "Swipe between pages to Navigate between pages" to make it more clear what they actually do.