I have no idea. I've never heard of the wash and fold laundry being returned in a basket and specifically a straw basket until you brought it up. Your post was the first.
See how that little bit of forgotten detail cleared it up the mystery basket dilemma. I wasn't doubting what you experienced. If you claim something then provide a little detail so we all know what you experienced. Possibly it was unique to just your cruise, or just the Reflection, or just for S1 sky suites.
You sure do tip over easy. Didn't know we weren't good.