The SW-3 should work just fine. I have all 4 of these wrenches and there is a tolerance of higher and lower, don't know exactly the levels but it will cover your 4mm.
Good maintenance to your Bike, can make it like the wheels are, true and smooth!
I don't like spoke wrenches that grab the nipple only on three sides. Get a Spokey instead, much less likely to ruin nipples that way.
Ok I can say 4 sides is better then three, but spokey? Never heard of them unless your talking about the ones from 80's?
Good maintenance to your Bike, can make it like the wheels are, true and smooth!
There is also the "not professional" version, I think it cost about 3€ You don't need the heavy duty one.