Sure, it could be. It could also be the call that results in someone dying instead of living.Sometimes that is the right call, depending on the location and nature of injuries. Especially in remote areas.
Listen.. I'm not saying that companies in the insurance business, with profits to consider, and risk vs. profit considerations will always make the choice that is 100% on the side of making their customers live/be successful.
They will, however, err on the side of 'going with the facts that will most often end up with them being right", .. at least financially. If they KNOW they will likely be found at fault for not providing the correct care, they KNOW they will likely face a massive lawsuit that will cost them lots of money. Most of their customer can't afford to do what Woody did, as they simply don't have the resources. So, their procedures, set by doctors and lawyers and people determining risk/liability based on the data-sets available, said to them that Woody would be fine to wait for their evac, under their conditions, on their understood timeline, and without caring about his money or influence, as a more likely successful outcome than doing something else like what Woody decided to do. If they felt it was more likely to work out well, they would have tried to arrange what Woody charged his AMEX to pull off., as being successful = saving money for them.
Looking at the whole of the situation, without assuming I know better than the experts, it seems Woody and Gus got lucky that something worse didn't result from Woody using his financial situation to over-ride the experts and their plans/opinions to me.