I'm with you unless my team isn't in the bonus. Then, foul all day until you commit the sixth foul.
By not fouling, presuming you're in the bonus, unless YOU foul on the 3-pointer, the worst you can go is go to OT.
IF you foul up 3, there's a lot of variables including the back-tap 3 or offensive rebound and-1 after the second shotthat can beat you.
Yes, that first part (foul until get the 6th foul) shouldn't even be debatable.
I do agree that you shouldn't foul in most cases. An offensive rebound or foul rebounding is just as likely as the other team making a 3 for the tie. And even if they do, you still have roughly a 50/50 chance to win in OT. But you can't lose. If you foul, while it is unlikely, it now is possible to lose.
I think a better debate is whether to miss the 2nd FT when up 2, with 2 or less seconds on the clock. I think you should miss it. If you make it you are up 3, and can't lose, but we've all seen a team hitt the 3 w/ 2 seconds, or get fouled (make one and then get the tip in or 2nd foul). But with 2 seconds (3 maybe tough) you can't coral the rebound and get a shot off. Maybe you can sling it 85', maybe, for a 1:1000 chance.