As one small data point: I've been running this experiment (another comment). While bots continuously hammer on port 22 (ssh), and repeatedly try to get things

As one small data point: I've been running this experiment (another comment). While bots continuously hammer on port 22 (ssh), and repeatedly try to get things like /wp-* (I don't even run PHP), they don't bother fetching robots.txt in the first place, and my honeypot hasn't a single hit. Definitely do not try to "secure" your site this way, but bots are either not sophisticated enough to analyze the .txt, or it might already be a known technique. Seems many other commenters come up with the same idea.