Generally it will have to hit the three tables.
Consider
SELECT A.VAL, B.VAL, C.VAL FROM A JOIN B ON A.ID = B.ID JOIN C ON A.ID = C.ID
It is possible that a single ID in "A" to have zero, 1 or multiple matches in either B or C. If table "C" were empty, the view would never return a row, so even just querying A.VAL or B.VAL, it would still need to see if there was a corresponding row in "C".
The exception is when, because of an enforced referential integrity constraint, the optimizer knows that a row in 'B' will always have a parent row in 'A'. In that case, a select of B.VAL would not need to actually check the existence of the parent row in 'A'. This is demonstrated by this article