Back up a second. The article is clearly aimed toward taking actions (with little regard of their genuine nature) which will advance your position with your superiors. It is to this content (and this interpretation of the content) to which I wrote my original post. (The article did include details such as 'flirting will only get you so far' but I found the tone exploitive). Let's not lose that.
Quick answer, no. There's a communication gap here so before we run down tangents let's check the main assumptions we're working with.So, say you're naturally flirtatious and flirt with both genders as a sign of friendliness. Must you stop being this way if this person can advance your career?