Hello David,a demonstration (on a common cherry board) of the grooving plane shown above. You'll probably be using something nicer than this cherry and straight for drawers, so only better than this.
There's no nicking irons or anything on this plane and it gets to depth at a fixed depth (you can add a foot if you want better, but keep in mind, this is a 1 hour tool made of a cherry offcut and the wedge is cut from soft wet plywood (yellow pine here, which is never dried very well).
The iron is ground and filed and then hardened using leftover O1 trimmed off of other irons (or plane sides - I don't know exactly where it was from )
very nice functioning plane. I will definitely make one or two fixed plough planes like this. The veritas cutters are like 20 Eur a piece, so I will buy a 6 mm one (1/4 "). My old iron from plough plane is very thick at the top (like 20 - 25mm) so I would have to chop an unnecessary big hole for the iron and wedge.