CTS is not due to the time you spend playing, but to a repetitive motion. And exercices to increase your speed are repetitive, since it's what allows you to go faster.
Also, what comes up in your playing is what you practice and listen to, almost unconsciously. So if you play speed exercices, you'll come up with them in your playing.
But you don't have to listen to me, after all, I'm just a purple slug...