Different model, but I installed the Faria Chesepeake gps speedo 0-80 gauge last year.
I happened onto a 2015 article on another site that may answer your questions. Basically, it says that when you wire it (in my case a yellow wire from pin 2) to a constant 12v, it keeps the gps spooled up, and if you turn anything on, trim, wipers, nav lights etc., the gauge will cycle, even with the key off. The OP talked to Faria, but they really didn't have a fix for it. However, they finally decided to wire both of the 12v wires together and attach them to the switched ignition source. I wired mine this way and it works perfectly. It is dead until the key is turned and then it cycles and locates the satellites rather quickly and is ready to go within a minute, often less. This works very well for me this way.
Looks like someone (don't know if it was Faria or the guy who posted) may have found a fix by putting in a relay to stop the needle swing (see below). I don't know if it works, but the info is there. Also, I would post the link for the article, but don't know if it allowed or not.