> decades it has been understood that a chess program with a better
> evaluation function  improves MORE with increasing depth than one with a
> lesser evaluation function so it appears that Go is not unique in this

Well, isn't that trivial? 
suppose, you have a "perfect" evaluation function, but you
add a random value to each of it's evaluation values.
Once your S/N value reaches 1/1, adding more probes/playouts will
not yield a better signal. So you reach a "soft horizon": you got               
 
stuck in the fog.
Adding false heuristics (cutting corners) such as pseudo-liberties,
or don't-play-inside-own-territory may even worsen the case.

IIRC this has been described before on the the mailinglist,
when alpha/beta was still fashionable.

AvK
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