The network tab in devtools isn't loading Google Analytics on you site. I think the bigger conspiracy is that Google isn't giving high search result rankings to websites that don't include Google Analytics. Part of the reason is they use time on site after following through a search result link as a dimension of quality for that search result. If that makes sense? They give 10 search results and their algorithm can tell if the search result satisfies the end user's request if they don't go back to the search results but rather continue on that site.
Lastly, clicking through a search result to your site might not give the searching user what they are looking for. Amazon discovered every time a person has to click they are far less likely to purchase an item so they created one click. Your competition makes it visually clear what their site does. You probably would get far more retention on the original click to your site if you have an image of what the end product looks like in a hero, front and center (with all the meta tags described in Google's document on SEO of course.) That way people won't click back to the search results page which Google is tracking as a dimension.
[0] https://static.googleusercontent.com/media/www.google.dk/en/...