Really? You are trying for slam when even game should go down opposite x AKJxxx KQx xxx? I think it's way too much to cue with that, you can have much better hands for hearts and if you cue with this little then partner (with other hands than the above, result is same regardless on that particular nightmare) has too wide a range to cater to, IMO. I'm starting to think it's just a guess (therefore may try simulation) on this hand, partner's hands can range from cold for 7, to "5 or 7 hands" (the table result, on spade hook for 7 in either major, both teams languished in game for no swing), to 5 in jeopardy. What percentage of hands that want to support hearts should cuebid, in your opinion? I have always played a style where we can cuebid rather freely below game, and in this auction, I would expect to cuebid on approximately half of the hands that want to raise hearts. I think this hand fits into this "top 50%" criteria, but maybe you don't. I would bid 4♥ on many hands that contain a singleton heart, so having Qx is a big bonus to me.