That's how I always set smoothers. And if they take too deep of a cut, I open the lever cap tension (lighten it, I guess) just a little while taking a shaving and the iron goes up the bed just a tiny bit.
They all have different personality with that, but I think it could be either of the following things:
* the iron itself is down a fraction of a thousandth when the tension is added (straight down against the bed or pushed down toward the wood by angle
* the screw does something to push out any bend further up, which causes the iron to project perhaps both ways (maybe the top goes up a little, too, we'd never notice)
* the lever cap screw moves the iron (it seems like this wouldn't happen all the time the same way on every plane - I have noticed that some will change lateral set a little as the lever cap screw turns tight, always the same way)
Or, it could be just about anything else!
I bought about 10 infills several months ago so that I could look at them all at the same time and see what I want to build. They all have a different personality with this issue of gathering extra depth. the norris planes were the worst (later beech ones with adjusters, every single one of them). I set them with minimal tension with the adjuster just shallow of where I'd want the cut to be and then used the lever cap tension as a micro adjust for depth. Worked pretty well, and I could've gotten used to it, but no thanks.
I only kept one norris with an adjuster, a late panel plane that I overpaid for, but it does work quite nice, so I'll live with it until I can reconcile losing a couple of hundred when reselling it. As little as I liked the A5s with the adjuster, I've gotten quite used to the A1 with it. whether or not that's because the cut is usually deeper, or time invested, who knows.
Anyway, of the rest of the planes, the one with the most sensitive adjustment (despite no adjuster) is a ward ironed coffin shape spiers. It'll gain quite a bit of depth when tightening the lever cap. Some of the others none or almost none at all (like a norris 2).