The rest of the auction aside, it's the Rdbl that concerns me. Assuming you play rdbl shows 1st round control, how do you like to play a 4♥ bid instead of rdbl? Does it make a difference if you play rdbl shows 1st or 2nd round control?
Whether or not North should have allowed this auction to occur in the first place, the 5♠ jump seems really dangerous to me. If he could be assured that S doesn't have a ♥ cue since he'd bid 4♥ with both the ♦A and a heart card, then he can just bid 4♠ in peace.
So how do you usually play it? I gather there's pretty much zero standard. Do you think there should be?
2NT-P-3♥-P
3♠-P-3NT-P
4♣-P-4♦-Dbl
Rdbl-P-5♠-All Pass