i explained below that an user can RECEIVE a phone call while browsing, thanks to Gs interface.
Wthout Gs interafce, the paging is failed.
So yes, for this reason only, the Gs will improve the paging success rate. But on the other hand, it also induces an additional interface to configure, therefore a risk of misconfiguration or congestion, leading to paging losses.
The “synchronization” of the PS and CS paging doesn’t mean anything to me, (or I don’t know what it means.)