However, does this not demand that every game clock be able to display tenths of a second?
I would contend, probably incorrectly, that if a clock does not display tenths, then it always rounds up -- therefore at 0:00.3 left, the "regular" clock would still display 0:01 which seems like there would be enough time to get the play off.
It sounds a little more bizarre to think "Yeah, there is time left on the clock, but there's not *enough* time on the clock, so despite there being a second left, the game is over because you can't run another play"
Sometimes it seems to me that we do some things simply because we know how to do them, rather than because there is any good reason to do them.
You misquoted Dr. Ian Malcolm slightly -- "Your scientists were so preoccupied with whether they could, they didn't stop to think if they should."