Why is everybody certain Gary is getting gas instead of just passing by the Agip station on Landstrasse? I've run through the video a few times and I still don't see it. 
I think you're right about it not being the pitstop. In the promo, they don't seem to be slowing down while going by the station/stone wall area.
---
Something I've been wondering about is this cap:

Why the second red and white location circle? Might that be the speed bump location? In searching for bikeshops, there are four listed for bike rental in Liechtenstein. The two I mentioned earlier and another one in Triesen. All three are down south after Vaduz. However, the last one is in Mauren which is west of Schaanwald close to the starting location.
This is the one in Mauren:
http://fahrradshop.li/%C3%9Cberuns/Lageplan/tabid/77/Default.aspx
A is the location of the Mauren Bike Rental Shop (Martin's Fahrradshop AG) and
B is the Agrola Gas Station (the northernmost gas station in Liechtenstein). Could work? It would give a reason for that second location on the map.