Just before lunch yesterday, I received a call from John, a representative of Time Warner Security. They had apparently found the Reddit post and my blog entry, rolled a truck to my building, and was ... less than pleased.
We had a brief but pleasant conversation in which we both agreed that if my cable were to be disconnected again, I should call him directly so that he could have the matter resolved in a more reasonable manner. He said that they had found my note, verified that in fact I was a paying customer, replaced the red tag with a green one, and that my line shouldn't be disconnected again.
Overall, while I was dissatisfied with the offered repair time when the outage originally occurred, I was pleasantly surprised by their response at my less than elegant solution. That said, I would not recommend doing what I did.