Reply by NJWiliam

Unless the rabbet plane has a very large iron for a rabbet plane, you will be much better off adjusting it like a molding plane – start with the iron set at too fine a cut, and tap the iron forward until it is where you want it. If you pass your shaving thickness, tap the iron forward to remove it, reseat it with the wedge at too fine, and start advancing again.

The try plane’s iron should have enough mass to adjust the way you describe. The better the wedge fits, the easier it is to adjust.

Also, the bodies of the planes often shrink so that the irons are not tapered enough to adjust easily. Depending on the condition of the plane and the iron, you can either widen the cheeks of the plane, or grind some width off of the iron. Not much material needs to be removed, but it can make a big difference.