I was simply offering a long term craftsman's perspective, as I've worked for many years using all of the chisel options regularly on a professional basis. You're quite mistaken if you're under the impression that a larger chisel haft allows you more control during use, as your point of focus should be the cutting edge and not the handle.
Your original description may tend to mislead the inexperienced reader to mistakenly think over zealous use of an underweight mallet is advisable. Hence my comments. There was no mention of larger chisel handles which offer no realistic benefit other than the possession of a larger target area and increased torque when clearing waste from larger/heavier mortise. Pig stickers aren't much more than a heavily bladed mortise chisel, traditionally hafted in a manner that's readily replaced on site if damaged during use and - the Catch 22 situation - primarily because such a handling style is very prone to splitting due to poor COP and the inclination for some to whale away on them with underweight mallets. Haft them with a hooped handle and you automatically possess a better balanced chisel.
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Their availability in sizes 1/8", 1/4" and 3/8" tends to confirm and doesn't deny the existing overlaps in use between the various chisel types - as I'd already very clearly stated. It merely confirms mortise & tenon joints of all sizes see use in framing and very often involving door and window construction where smaller joints often see use. All mortise chisels are framing chisels and heavy framing isn't restricted to construction work.
Hooped sash mortise chisels tend to be better suited to furniture and cabinetry work, due to their lighter handling, refined COP and resulting improvement in balance.