Your GPS file has no time, it’s just a set of 25 points (if what you attached is unmodified, you can open it in a text editor to check it), so naturally, there’s no information to sync or to tell Shotcut how fast/slow it should sync to your video.
Also, time is mandatory in gpx standard so I don’t think it will parse (aka it won’t even start to work at all).
Ok, so replace the <wpt> keyword with <trkpt> and it should start showing up. Here’s what I see (with smoothing set to 1 point otherwise it’s rounded up (to 5) by default and due to the small number of points it looks completely different):
Here’s the modified file that works for me (I also added <trk><trkseg> tags because GPXsee (a free app I use to look at gps files) was picky about tags): gpxgenerator_path.gpx.txt (1.1 KB)