Soldato
Whilst in a perfect simcraft world your dps will increase slighty, I found that in practise quite often it was a dps loss taking the higher ilvl with worse secondary stats.
It's not even in simulation - it translates to raids as well. Not that I'd say take a warforged piece with dog secondaries over a standard piece with perfect secondaries but going from Normal -> Heroic -> Mythic it's all about the item level at the moment. There is a point in time it switches but I don't think it will even be a debate once BRF is released because the secondaries from what I can tell are better across the board.