Statto, on 2012-May-23, 18:53, said:
The meaning for the X is highly unusual. Even so, I don't think it's that likely partner will be able to provide 3 very quick tricks outside ♦, so I'll bid 5♦. When partner doubles 5♠, I'll take the penalty.
I probably should have clarified in the OP that it's similar to a natural 1NT overcall that doesn't promise a stopper - it's just that we have some of the weirder hands in with our 1NT overcall rather than our takeout double (which is in 1NT).
Still, interesting consensus. My team mate had this problem and pulled partner's 5Sx (partner having AQJ tight of spades over the K), then misplayed it after they came up with a low spade lead for which he was mocked and subjected to the traditional 20 imps out on one board penalty of having to buy everyone a drink. At my table they just bid 6D directly which we couldn't double but went off when P cashed his aces. Afterwards the team was divided 50/50 on 6D or 5D, so it's interesting to see the results repeated.