I am not very familiar with the genre to be honest, because just clicking doesn't seems fun for me without meaningful choices, but yes, some people loves it. I remember years ago a flatmate playing an app that the whole point was to click to get +1 (virtual) dollar. I couldn't understand, and still I don't, the fun on just seeing the number going up without any challenge. Lucky the ones making money with such easy apps to develop! :-D
I think that adding that option and show it as option in a trailer, would help to earn also that type of players that likes Tetris and similar games. So you will have both clickers and "puzzle game" lovers as potential players :-)
Adding the option is just a few lines of codes, but the benefits are why higher in terms of potential players.
Good luck with your full game release! :-)