Unfortunately, it seems that this problem still isn’t solved in 2019.
When I connect to an OpenVPN server from an open wireless hotspot, Avast sends almost 500 requests for http://files.avast.com/files/vpn_ssid_notif.txt during 250 seconds (almost 2 requests a second).
Whatever the reason for this behavior is–I think it should be considered a bug, since the job of a virus scanner is not to generate heavy load in a network. Maybe an Avast developer should have a look at it.
The product used is Avast Free 19.4.2374 Build 19.4.4318.491 (without SecureLine VPN or any other module) on Windows 7.