It's easy to understand how bows and arrows, spears, arms and armor are considered important and are carefully represented in engravings in stone. These things changed in fine detail over long periods of time that don't really show in such art, but their general form remained recognizable over tens of millennia.
But, the purse? I am left to concur with many researchers that something more than a means of carrying stuff is represented, but what could maintain that specific symbolic representation across such vast time, and literally around the entire world, is difficult to guess. We know that from ~15kya to ~8kya, after the Younger Dryas cataclysm and 1000 year nuclear winter, the ice caps melted and raised sea level over 100M. Since water would pool up and periodically be released in massive floods that have left horrific geological evidence in the badlands of N. America, for example, rather than only raising sea level gradually and incrementally, people that lived on the coast would periodically be utterly destroyed by those floods. Civilization kept getting reset to zero for millennia.
When that global warming ended ~8kya, many cultures all over the world have a common origin mythos of gods that taught them how to live more civilized lives, teaching writing, metallurgy, architecture, agriculture, and etc. To me that sounds like some civilization had managed to maintain civil society through that interregnum and traveled about sharing it with those that had not. Apparently they carried stuff in purses.
That's my best guess.
However, Gobekli Tepe and Aboriginal people long predate that era, so those are outliers that don't fit that narrative. Still, I've yet to hear a better explanation.
Man, I've missed you these last weeks. I hope you've achieved what you needed to and are well refreshed and up to the tasks in front of us.
Thanks!
RE: Many Cultures with a Lithographic Tradition have Representations of Handbags