I was giving him a stroke. After my chip we technically laid the same. After a lost ball, with his stroke, he gets a putt for par on the number 1 handicap hole.
I accounted for that stroke. The fact of the matter is that you were hitting your second after your tee shot, and even with the stroke, he was hitting his third. He beat you by two FROM THERE. Play better golf. You hit the ball three times, he hit the ball two times… AND had two penalty strokes. And from there he apparently out-putted you.
Had he teed off again, he'd be lying the same three shots hitting four. Yeah, he may have hit another OB/lost, but he also might have piped one and had even less in to the green.
If they club culture calls for instituting the new rules we will have no choice as it is obviously faster than hitting at least one provisional off every tee out of the foursome.
It's still faster to hit a provisional. When you don't, you still have to end your search, and then figure out amongst your group where the truncated "pie slice" is located, and then the guy has to figure out where to drop (in the rough here with this angle, on the edge of the fairway with this angle…?).
Hitting a provisional will still take less time.
And again, don't play the Local Rule if you don't want to.