MrMach5.5
It would also help if AUH not tell the neighbouring FIRs that Dubai is closed while it isn't
I think you may be confused. As mentioned, Dubai may not be closed, but either Dubai App or UAE ACC has reached saturation and cannot accept any more traffic. The actual words used to convey this message to the neighbouring FIRs may be a little confusing (as they are the same as for closing the airport), but thats what they mean. A way of reducing the traffic load is to prevent any more aircraft getting airborne to head to Dubai.
The airport isnt "closed" as such, but the effect is the same, and the message you received may have been that the airport is closed. We realise that the airline's preferred option is to get airborne and then hold, but at times over the last week that hasnt been an option.