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That's not quite a good principle, if left unqualified. A queen can threaten just about anything and, except for a knight, other pieces can threaten the queen but be taken by it possibly, in FIDE chess, for example.
From Fergus' article on designing good CVs:
'Include pieces with differing powers of movement. Each can attack the other without being attacked back.'
I think what he might have wrote instead of 'Each' was 'Some' or 'Many'.
https://www.chessvariants.com/opinions.dir/fergus/design.html
I consider non-paired pieces possible exceptions. It's not an absolute rule. Of course, there are good games that totally ignore this idea.
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Are there any principles you use to evaluate or design chess variants? One I like is where each piece type should be able to threaten each other piece type without being threatened in return.