The AMVOX-2 made me think about GP timepieces with unusual chronograph release functions; three of them come to mind, although the approach is more conventional for each:
Mimo chronograph, ca. 1935 (GP Museum)
the crown is the chronograph pusher
reference 80500: "375MM" (limited edition)
co-axial monopusher inside the crown
reference 90210: Foudroyante, Vintage45 case
conventional start/stop pushers for the chronograph function
co-axial pusher for Rattrapante function inside the crown
2nd and 3rd picture by www.girard-perregaux.com
Spinning the idea forth, there´s a model which i´d imagine to benefit from a side slide instead of a second crown:
reference 49850: WWTC Power Reserve
World Time indication is controlled by second crown on the left
picture by www.girard-perregaux.com
Nothing wrong with a crown (like the WWTC PR) or a pusher (like the Patek Philippe 5110), but a side slide like repeating timepieces would make it less wide. While the 49850 is a very comfortable watch, replacing the crown with a slide may make it even more easy to wear.
On the other hand, the use of two crowns is likewise emblematic for GP´s world time models.
Greetings from germany,