I'm not documenting it, but I'd say it's not idiomatic. " Actually, I don't have "heighted" on my word list. Perhaps someone else does.
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Mr. TomSo, how would a native speaker's ears react to the coinage short-heighted?
Mr. Tom How should I pronounce your name?Sadly, I never lived to hear my mother speak it; so you're allowed even more lattitude than with "short-heighted."