The technique MM refers to i think is for 'unspliceable' tight arbo 12 strand (other 12 strands can be spliced without brummel, but their directions don't aplly to us as i understand).
Splicing can make you a better knotter IMLHO, in that the techniques of polishing 100% efficiency from line, is just superlative line handling, hints of which could applicate to any knot/hitch(?)
Starting on the simplest, that as knot tyers any tree person should know i think; simple, strong lessons can be learned....
Brion Toss's (also where the 'sweating in' comes from) excellent VHS tape, at a good Sherrill price of $32 (co$t of 2 16 strand splices) if your into this stuff, #16232. One gleaming point of the ol'master to 3 strand, showing a consideration of all knotting i beleive is his 'ribboning' theory.
In the 3 strand, the big ribboning secret (contrary to popular belief according to the recognized worldwide authority on knotting, splicing, rigging and boating lore) is to take the round strands and ribbon out/ flatten before weaving thru to make splice, not to leave round. This one simple action, maybe an unnoticeable differance almost in watching 2 people do the same thing, mechancically does 2 things: by being flatter as it weaved through line a lacing ribbon disturbs the line shape less; thereby maintaining strength. Also a flat ribbon of strands lacing thru, gives more surface contact area ; like closing book on finger or file card; so is more secure. 2 optimized, important properties from 1 simple lil'rope prep crafted!
Anytime you can maintain natural line shape; including running flat/straight as house spliceing tech /authority Nick lends; you maintain peak strength. Any bending or curving causing leveraging against the line's strength. Any knot/hitch/splice (permanenet super knot) that has more mated, loaded surface contact has more security. Strength and security are 2 different categories of consideration in any lacing, rigging, knotting, splicing etc. Also splices and the crown knot for 3 strand, allow the load to be carried evenly on the strands of the rope.
3 strand makes good short stuff, more durable than braid in olde split tails and lanyards. Also, different and to me positive charachteristics mixed with braids in friction hitching. the contact footprint is different, and may allow heat dissipation with it's 'flutes' compared ot a totaly covering sock of a braid i think. i run a 3 strand lanyard mostly, with the Rocky-Recomended
NE Sta-Set white-8mm 4400# Double Braid as adjuster tied straight to D, stanidng end of lanyard thru to have D also as tender. Better for 3 strand prussiks and tails on braids though IMLHO. i beleive some Sherrill and ArborMaster refrences to same. So plenty of uses for 3 strand, no need to waist projects. i think easier with marked line favoring NE HYvee 3 strand. The other 3 strands ya might see i'd steer away from the stiffer polyolefin(SP.?) stiffer fibers, that are kinda easier to splice, but don't lay down as well for the ribboning IMLHO. Also those fibers don't take heat as well, and are weaker 'hamburger helper' IMLHO.