While potentially more efficient than bogosort for larger input size, this sorting algorithm has a serious limitation. I am of course talking about being limited to 140 characters per tweet. This seriously restricts maximum input size you can sort, which in turn severely cuts down on potential applications of this technology. Moreover, without deployed SAAS (sorting as a service) bot, algorithm is not deterministic which will complicate handling logic as you need to account for being forever alone without anyone to sort your numbers.
In short, I would advise against deploying this on production until technology is more mature.