Pardon my ignorance (I'm newly licensed), because I'm trying to educate myself. So the dashed blue path is the flight plan filed when the flight departed or the actual flight path as dictated by ATC? I can't imagine anyone filing a flight plan like this. So are you saying that the ATC, during flight, dictated that the UAL flight go in "circles" until the weather changed to allow it to land at DFW?
I don't totally understand what you're saying because I haven't worked in the field yet. It's my understanding that ATC does not concern itself specifically with whether aircraft fly into weather, although it DOES have to deal with the delays caused by dispatchers and pilots deviating around bad weather. I can conceive of an aircraft getting caught in a cluster of thunderstorms and having to maneuver around them, resulting in a weird flight path. But I don't understand what you mean by: