I don't think competitive is the right word (I'm leaning towards "engaging"). Even if I'm casually gaming, it can be a turn-off to notice timing issues. More-so if I have to adjust my behavior to accommodate.
Well when I was younger I was very particular about these things (CRT vs early TFT etc) so I would not say that is not engaging at all. Just that you will probably be frustrated very soon when trying to outperform players with direct access in something like FPS