Bartender version 3.1.6 or newer is designed for macOS Catalina
With macOS Catalina, Bartender requires the Screen recording permission to work.
This is a new Security Setting in macOS Catalina, not a change to how Bartender works.
Bartender does not record the screen.
You can find out more info about Bartender and macOS Catalina's new Screen Recording Permission at Bartender and macOS Catalina Screen Recording Permission