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I think its way better to play 5♥ [kickback RKC for ♦, K-ask ] as asking for the highest (or lowest) king available. So after 5♥, u respond 5♠ if u dont have the ♠ King, 5NT spade King and no Heart King, 6Clubs, Spade and Heart King but no Club king etc.
I found it very interesting for the hands shown... but...
...I've been puzzled a little bit when thinking about alternate holdings.
How does replier show ♥K only, or ♣K only, or ♥K and ♣K but no ♠K ??