Not sure how relevant my experience is to your own situation, but we had an issue with delayed baggage in 2022. My wife and I were over to Budapest for a long weekend but our luggage did not arrive with us on our flight. Checked our air tag which we keep in our suitcase and showed luggage was still in Schiphol. We did not get suitcase back until the Monday evening and we were heading home on the Tuesday morning. We contacted KLM helpline and they told us to go out and buy replacement clothes/toiletries in Budapest which we did. I actually bought a new pair of Levi 501's along with the rest. Total cost was approx 250 Euro for everything we bought and we got this refunded within the week. Obviously had to keep the receipts.

Not sure what other compensation we could have got