I'd say "No catch!" while giving the safe mechanic. The exception would be if it were a foul ball, in which I'd say "Foul!" and give the proper mechanic.
The purpose of the rule is to prevent a double play. It's generally accepted that a line drive or short fly in the infield would probably not give BR enough time to make it to 1B before an infielder can intentionally drop the ball, throw to (presumably) 2B for the force, and then relay to 1B. With most hits to the outfield, the time would generally be significantly longer, so BR would have a chance to reach 1B.