Getting slowed only increases your chances that any individual swing will proc for you - but will not increase your average proc rate. Being slowed makes that first swing more likely to proc, but hasted/slowed/not has no bearing on the average time i takes to get that proc.
People used to exploit this mechanic with "shakerpaging" whereby a warrior would pull eleventy billion mobs, take off haste, get slowed, and then hit rampage aa to let them swing once per mob in range. SLowed and without haste, it would proc a pbaoe once for each mob hit and proc.
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