I had booked MXP - SIN and HKG - ARN on the Iberia website both via Doha. My flights were on 02/03 and 06/03 respectively.
I called Iberia a few days before the 02/03 right when the situation began. The agents were really helpful given the situation, also they were superbly patient and got me tickets on other airlines almost immediately. On the outward leg, I asked for a reroute to KUL, which was accepted and on the return I asked LHR, which was again accepted with no questions asked. My final routing was LIN - CDG (AZ) CDG - KUL (MH) and HKG - LHR (CX).
The only issue I found was sometimes their availability on other airlines doesn't match to what you find on your own online. Hope this helps.