I am not disputing your personal experience. However the Brewstrong episode you cited talks almost exclusively about hot side aeration and only mentions that you still want to minimize aeration of beer during packaging (several times), but they don't specifically talk about the effects of aeration during packaging (i.e. bottling).
Their take home message after hearing the chat with Charlie Bamforth was that hot side aeration, and oxidation reactions, occur "upstream" during mashing, boiling, etc., but the effects of the oxidation is cleaned up by pitching healthy yeast and proper amount of yeast during the fermentation. It was an interesting discussion really. Charlie did not dispell hot side aeration as a myth as I've often heard people on HBT say; he said it exists but the yeast transform the effects of the oxidation during fermentation. He also stated that when brewing it is wise to try to minimize the amount of hot side aeration, so the yeast don't have too much to deal with. But they specifically note that it's not something to worry too much about.
They also specifically say that all beer will eventually stale from oxidation, but you can do things to slow down the staling such as being careful not to aerate the beer during packaging, and storing the beer cold as chemical reactions occur magnitudes quicker in hotter temperatures. Charlie stated for every 10C rise in temp any particular reaction will occur 2 to 3 times faster. Furthermore, they also spoke about Sierra Nevada's switch from twist off caps back to pry off caps because they were convinced that it made the product more stable; that it was more resistent to leakage of air into the bottles. Charlie also specifically stated that canned beer is more stable than bottled beer, because it is better sealed
If thats true i dont know why i disliked mt.dew so much since it moved from bottles to cans/plastic 30 yrs ago.