I'm so new that this wasn't as interesting as I thought.
I would call it "taking into account your opponent's strategy and adjusting your own strategy accordingly" rather than "copycatting". I do it all the time when I have the feeling that my opponent is more comfortable with the kingdom than I am, as long as I (think I) understand why my opponent is making the choices he makes. Why would I make a suboptimal play when the optimal plays are presented right in front of me? Also, it's worth noting that unless you do something differently from my opponent at some point, the best you can do is a draw so there is no reason to be upset about copying.
Great, apparently I had written the last sentence in first person and then decided to change it to "you" passive, but didn't change all instances of the first person pronoun.
And it makes me a little sad to be reminded about the fact that I haven't played against people who are better than me for over a month.