For what it's worth I saw the problems in your counting examples right
away, without reading the explanatory text below.

Yes, they were pretty obvious with enough experience. For beginners I
expect it to be a rather insidious trap.

Beginners or anybody coding Haskell while not completely awake. ;-)

Hopefully that means
that it's possibly to learn how to spot such things without resorting
to e.g. running the program or reading Core *gasp*.

Within limits. Detrimental laziness or strictness can be arbitrarily well
hidden.

I agree. Unfortunately... :-/

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