I (almost) always book it on Avis US site (where I can stack coupon), there you need to pick your residency and when we pick Sweden LDW is always included in the rental.

@OP double check your rental agreement/booking.

Last time we rented from Hertz and we found some scratches and we told the gate agent about it. Her response was almost like this: you have LDW with no excess so they don't care.