You're falling behind, Julien! That functionality has been updated to get you the latest FSD Beta build. Sheesh, keep up with the times, man!
I didn't get a Tesla until the end of last year and had been on a long hiatus from this forum until then, so haven't been following all the news. That toggle button also from what I found with a quick google didn't exist until 2019.16, so wouldn't have been mentioned in this forum anyways for most of the time I was gone. From the same search others mentioned that just going to page triggered a software update that otherwise would not show up on the phone app. Another one said toggling the option (from advanced to standard) and rebooting triggered an update.
Recently I have seen a green download icon at the upper right of the screen before I got an update notification. I had to drive the car and when I left my wi-fi the icon turned yellow until my wi-fi reconnected. The download continued and then I got the update notification. I believe the updates are being downloaded first and then notification occurs. When you initiate the update the car is just installing the cached download. I recently went from a 4 Mbps internet speed to 30 Mbps. The 25 minute update time did not change. I know my old 4 Mbps must have taken hours to download some earlier big Gig updates. I think the maps are about 5 gig but they download and install automatically. If you don't have wi-fi you're probably the last to get a download over the cell connection unless it's a critical one.