I totally understand the way Ted handled it. Furthermore I am glad that the lady didn't try to emancipate his dogs or anything crazy like that. I'm also glad the LEO was reasonable and open minded.
If Ted had tried to handle it directly with the lady it might have worked out fine or it might have escalated and he would have been in a parking lot alone with a woman possibly going berserk on him - not good.
Having said all of that I think we all need to be mindful of a few things:
1) Due to kids and dogs dying in hot vehicles on a far too frequent basis, the public is justifiably bombarded with reminders not to leave kids or pets in vehicles in warm weather even for a short period of time. These constant reminders cause some to jump to the wrong conclusions that our animals are in danger and we must be the worst kind of owners for not realizing (or caring that) we are putting our animals in danger. As a side note people are continually (correctly) told that KEEPING dogs on a chain is animal cruelty so when they see dogs temporarily staked out on a chain (which is a useful practice after training as we all know) they jump to wrong conclusions as well - good info applied incorrectly.
2) Most people have no idea about the relative luxury of the best dog trucks, trailers and toppers. They certainly look like a hot metal box.
Given #1 and #2 combined, it is understandable that people will get worked up sometimes and jump to the wrong conclusion. Some people will handle it better than others. I don't know whether the lady could have been convinced and educated or whether she would have just ranted at Ted if he showed her the box. It would have been good if she had seen it when the cop did, maybe she would have learned something.