Precision, more than accuracy, dépends on the owner's lifestyle.
A Watch is accurate if it looses or gains 20 secs a day, if it is regular.
A Watch is precise when it is within the choronemetric tolérances.
That is the difference I make.
And yes, you are right, ETA makes reliable and accurate movements. The evidence? Look at the results of the 2009 Chronometric contest. The ETA ( 2892, if I remember well ) was ranked very high, and won over more " prestigious " movements.
Best,
Nicolas