We sort of did that for a night ring - wired up the night ring relay to the Page button of a telephone set in the equipment room. Then ringing tripped the relay, the phone did an "all page", and it's mic picked up the ringing sound, so we heard a paging splash tone followed by a ringing phone. It was a while ago but as I recall that same set was also configured to ring on outside lines (and did so while paging), or there may also have been a second "service" set in the equipment room which was set to ring, and was being picked up by the modified set. It did work, and was not necessarily limited to night service (though that was how we chose to use it); could use the aux ringer contacts for full time paging.
Come to think of it, connect the aux ringer relay contacts to the button of a Norstar Doorphone, and you'd have your choice of 4 chimes after the splash tone (though you'd only hear it once - our method kept ringing until someone picked up the lines (we used feature button programmed for call pickup then dialled the number of the modified set).