I am late to the thread, having been tied up with losing an event
I agree with the passers, for most of the reasons advanced by Justin and Frances. Let me add a thought.
We have made a 3
♠ call that created a fairly good image of our hand, which image was probably sharpened by the 4
♠ call. We are a passed hand, that forced to game over 2
♠. Hence we have a shapely 9-11, with 4+ hearts and (due to the 4
♠ bid if not already clear) short spades.
Partner KNOWS THIS.
He could have asked us whether we liked our hand within the context of our bidding to date. Had he done so, I think most of us would be very happy to say we love our hand.
He didn't ask that question.
He doesn't want to be in slam opposite a very good 3
♠ call... which is the hand we have.
If you bid over 5
♥, then you are insulting your partner. If slam is good opposite this or similar hands, then partner doesn't have a 5
♥ bid.
Now, that is not to say that there are no hands on which you can override partner here. void xxxx AQ10xx Axxx is a hand where bidding seems odds-on.
But this hand is extraordinary.... we hold 3, count them, 3 1st round controls and a good potential source of tricks.
The hand we actually hold is very nice, but it is NOT extraordinarily nice in the context of what partner already should be expecting.
Simulations here are of very little use. However, my suspicion is that if slam makes, we should be running simulations from partner's perspective over 4
♠. In other words, if slam is a good contract opposite this responding hand, then I would like to see if a simulation were to support partner's decision to bid 5
♥... and I would strongly suspect that it wouldn't.
One reason I think that such a simulation might be practical, whereas a simulation based on this thread would not, is that the responding hand is defined by its original pass, its 3
♠ call and, to some degree, the opposition action, whereas I think that defining opener's constraints is far more difficult.
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari