...the thought process that leads to that specific application, perhaps, but it would be a misapplication. I bet the number of people actually teaching that exact, hold-the-door example is closer to zero than it is to 1%.
That's not to say there aren't numerous little tiny examples of things we do everyday by habit, without thinking, that originally tied in with attitudes we now recognize as sexist. If, for example, someone holds doors only for women, there's the historical subtext that women are incapable of doing it themselves.
A buddy of mine told me once about a meeting he was in in a conference room. A female coworker got up to get herself a cup of coffee. He asked her if she could get him one (while she was up) and she got all indignant and refused. From his perspective, he'd have asked anyone else, male or female, the same favor under the same circumstances, and he'd have gotten a cup for someone else if the roles were reversed. She read it as expecting the woman to do the man's bidding. I think she was sincere, but I think she was wrong. How it made her feel doesn't justify treating someone else poorly.
In a way, while I get where this kind of outrage comes from, it sort of represents buying into the idea that you are lesser and have to draw such a ridiculous line to protect yourself from being oppressed. Getting the coffee, thanking the person holding the door -- that exudes a confidence that you're not threatened by little things. I get that it could be a slippery slope, too, but pick your battles...