If you click just outside the profile icon, Orion will focus the URL/omnibar. The entire area left of the divider should open the profile menu.
Black outline shows the (approximate) current clickable area; red outline shows the desired clickable area.
Anything between the two outlines currently behaves the same as clicking in the middle of the URL.
Orion, OS version; hardware type:
Version 0.99.121-beta (WebKit 614.1.20)
MacBook Pro (macOS Monterey 12.4 build 21F79)