Incorrect, except maybe at lower rpm and pressure when it does not matter. Once your into the relief spring, there is no more oil passing along key engine components. And in fact, the Hv pump is actually putting more heat into the oil when it is beating it around in a circle.

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Yes IF your in by pass mode BUT if the engine has
larger clearances and other means of oil loss(as in
my case with edm holes and PR oiling) the pump IS moving
more oil.... not everyone can get away with the standard
volume pump and in the case of removing temp... it
does IF its NOT in by pass mode