I agree about the apparent codominance going to the base, but how can you cut it all the way off without cutting into the other stem?
And what size wound are you leaving?
And are you SURE they are not connected?
"So, I'm looking for a more reliable methods for removing co-dominant stems. "
You and the rest of us too.
You need to be very careful,and cut very slowly.
Do not cut all the way.I prefer the use the small climbing saw for these particular cuts.
But you start,by cutting right into,like you will be removing a small trunk,as if the other main trunk was not there.
However,only most of the way.In this particular tree,cut until you have about a 1/4 of an inch to go.
Stop.
Now use your Peavey,to gently pry it off.IF you cut far enough,it will go "snap" and your done (you may want/need to cut off two little slivers on each side with your hand saw if it didn't brake clean.)
as for,what size wound are you leaving,
None.
Simply the couple inch high trunk.But no new scaring is introduced to the main trunk here.Being included bark,is already a wound.Once removed like any other pruning for removing included bark,the healing can begin.
Id be extremely surprised if these stems are connected.
Very certain here imho.
Again though,like you advised is generally best and most often used.
This is a little bit more rare.But iv removed many like this.Particularly in red maple around here.
Whenever they look like this,this is the method used with great success.