Correct.

I use a script in a root terminal to control a lot of my workflow. One thing is that I start browser windows from it when needed. I start them with

    sudo -u desktopuser chromium example.com

Because

    sudo -u desktopuser firefox example.com

does not work.

I thought that is relevant to the question "Why bother with Chrome".

desktopuser of course is the normal user which would also start Firefox if I did it via the Desktop gui.