Sorry my question wasn’t clear. 
I meant if a Turris is connected to (a 3rd party) VPN provider, and it’s setup so that all traffic will go through the VPN. I basically followed the guide here:
In this case, will the Foris connection tests use the VPN connection? I ran into an issue where the VPN connection went down, and the Foris connection tests were still working. I didn’t do extensive testing, so it could have been something else. But this also makes me wonder if other functionality like updates, and software/packages will go through the VPN.