Just got off the phone with the PSL again, it‘s KLM doing their baggage handling at AMS. But apparently they‘ve been unable to reach their own company in six full days to get this bag on its way.
I‘m now out almost 3000 € for rental equipment in that luggage, adding almost 500 € for every day it‘s not returned. Getting this covered by KLM will be a fight and I‘m at my wit‘s end.