I dunno if I missed something, but from what I understand the timer will start anyway, just sooner.
I mean, unless you are really going hard for 1st pick (Duel, fastest picker win), then picking fast just results in worse picks. If it distracts you, I recommend just turning it off. Maybe, you loose 0.5 - 1 seconds on it*, which has no effect on most games. Like, the one exceptions to this, is the fastest picker wins games, and you are not loosing out by avoiding those games.
*Technically, you don't loose any time. But of course, it's nice to start the timer yourself, so you are always ready.