First of all, these are chimps, not monkeys. Second, the Homo Stone Age began millions of years before we tamed fire or began hafting. We know that hafting came long after because the main tool of the Auchulien Industry was the hand axe, which was
 held in one hand, and temained mostly unchanged for over a million years. Third, our own ancestors didn't start making art until the Upper Palaeolithic, around 30 kya.

With that all said, yes we need to be careful in falsely anthropogenizing our closest relatives. I do agree with you in that I would not call it a Stone Age, as they have yet to be observed modifying the stones for particular uses. Instead they select desired rocks from the ground as-is.

Edit: Changed Homo sapiens to Homo since our stone age began long before our species evolved.