Then you'd be wrong. Violations of time symmetry have been observed at the subatomic level as reported here.
Time (T) Violation has also recently been observed in the weak interactions of kaons by the CPLEAR experiment at CERN and the KTEV experiment at Fermilab. T Violation means that the rate for a particle interaction is different for the time-reversed process.
But if it can be violated, it is not an absolute. The difference in interaction times could even be an artifact of the observation method.
Then they aren't looking small enough.