That being said, I'm fairly certain the article was not talking about no-limit. The vast majority of poker bots play limit, where there is a clear advantage from playing the mathematically correct way.
The idea that you can play winning poker with "spontaneity" and "feel" is exactly how these bots make money. I'm not going to waste my time trying to explain it to you. If you really care, spend more than 30 seconds reading up about the mechanics of limit poker.
I would suggest starting here, since it has a reasonably compact rundown of the math behind the game:
http://www.amazon.com/Theory-Poker-Professional-Player-Teach...
An objection that could be raised is that psychological factors carry more weight in no limit, especially short term psychology (recognizing when a player is on tilt), but I see no reason why a sophisticated program couldn't integrate these factors better than a human. Psychology in online poker is really just pattern analysis.
I should've clarified no limit. This article is presumably talking about no limit - since that is by far the predominant game.
With all due respect, you have a poor understanding of poker if you really think there is a way to "memorize the correct action for every scenario". Poker is about interaction, spotaneity, 'feel', instinct. Mastering those things is where to get a real edge, not math - particularly in no limit. Hence my comment.