Zelandakh, on 2014-September-12, 12:34, said:
I doubt anyone would count this hand as 19 on this auction, let alone 20; but there are quite a few numbers between that and 15 and counting the shortage as 1 in combination with the ♠K + minor suit honour structure as 0 is unduly pessimistic. If you want me to put a specific number on it then counting everything together as +3 (17 total) seems closer to the mark.
Fair enough, the difference between the base value (16) in my second response and your valuation (17) is certainly reasonable. Perhaps calling it a "very good 15 or 16" was a bit pessimistic.
The key is that the minimum value of the hand still puts it in a slam inquiry/positive range opposite a minimum.
An interesting side discussion might be about when it is right to show the splinter opposite an opener minimum response. If, say, responder held something like
♠ x
♥ xxx
♦ A10xx
♣ AKJxx, is that enough to still show the 3 trump splinter? And, what would be the maximum for the splinter, if any?
In any case, I can't imagine North stopping in 4
♥ after South finds the 4
♦ cue. North has controls in all the side suits (albeit just a 2nd in
♠). The only question is "Are there any trump losers?". Hence, the reason I choose to ask with 5
♥.