It is derived from that, exactly.

https://en.wikipedia.org/wiki/Command_key

> The ⌘ symbol (the "looped square") was chosen by Susan Kare after Steve Jobs decided that the use of the Apple logo in the menu system (where the keyboard shortcuts are displayed) would be an over-use of the logo. Apple's adaptation of the symbol—encoded in Unicode at U+2318—was derived in part from its use in Nordic countries as an indicator of cultural locations and places of interest.

More here: https://www.core77.com/posts/97914/Debunking-a-Myth-Apples-C...

From someone working there at the time: https://www.folklore.org/Swedish_Campground.html

I still call it the Apple key ("omppu" in Finnish, colloquial form of "omena") even though the symbol hasn't matched for a long time. I use it when thinking about shortcuts as well, like a screenshot being shift-omppu-4.