I assume by use more heat you mean produce more heat, as they won't use heat.
Different PSUs, even in the same series could use the same or different amounts of current, there's no definative answer to this question.
What you want to know is the level of efficiency at 200w load, to get a correct answer you have to state specific PSUs. (And that would only be a guide as even 2 identical PSUs could have some small level of variable results)

Yes sorry I meant to say "dissipate heat".
So you are saying that a 850 watt could potentially draw more current than a 650 depending on efficiencies?
Ok assuming both have equal efficiency ratings, would this mean that both would draw same amount of current for the same wattage? (despite one being rated higher than the other?)
