I share that thought and the reason i did 3 individual icons is based on the assumption that, even if the user would not understand the icon alone on first glance in the menu, the actual presentation in the menus is:
Icon (status) -> text: Profile -> text: (status) -> icon arrow to indicate.
So even without clicking the row and go to the selection page where ideally all 3 icons are listed with the status written out as text, the user could understand from the word "profiles" followed by the status text.

I tried rinigus request for a storage symbol to represent "offline" but came to no conclusion because either they are pie-charts, hdds, usb-sticks or even server racks. One standard symbol for storage even looks like a cylindrical version of our new map-layer icon... Technically we would need to symbolize flash memory, but how?

For now i did some variations based on recent comments to the 3 existing ones