Surprize !
I agree !
Read another reason why this proposal makes sense, indeed :
Here is an "underhand" tying method, based on an "underhand grip" of the line before we form the nipping turn, by twisting the left hand 180 degrees towards the ergonomically easy clock-wise direction , and feed the nipping turn with the end of the line held by the right hand.
( 0. High bar grips : Overhand grip / underhand grip. )
1. Palms facing you, left hand s thumb pointing left, right hand s thumb pointing right.
2. Line laying ON the palms, held by an "underhand grip", so that the end /Tail is near the right hand - it is the right hand which is going to feed the working end into the nipping turn, because most people are right-handed ( I believe that nobody would deny this ! )
3. The right hand s wrist makes an ergonomically easy clock-wise 180 degree turn, so the line in between the two palms goes "under" the Standing end.
4. The right hand feeds the end of the line into the nipping turn , from "above"/"up to "below"/down. Then, it can release its grip on the line, because the end of the line can remain in place, hanging on the rim of the nipping turn, the end / Tail from the one side, the tip of the eye from the other, and the line pointing to the left.
5. Now the right hand is free to move and grab the line again, from the part beyond the rim of the nipping turn, i.e. the part in between the nipping turn and the end. So, it can now force the end / Tail to make a U turn around the Standing end, i.e. to form a collar.
6. After it has formed the collar, the end / Tail can be driven by the right hand through the nipping turn again, this time from "below"/down to "above" / up, and can be released again hanging on the nipping turn s rim, as before, but now pointing the line pointing to the opposite direction, to the right.
7. The right hand is again free to release its grip on the line, and it is free to move, and grab both, now, segments of the line, the Tail and the eye leg of the Tail, and start pulling them, so the collar will move towards the crossing point of the nipping turn.
"Underhand grip view / overhand grip view" , now simplified by alpineer as
"underhand view / overhand view" of the bowline. These labels can also be considered as able to describe, in the "underhand view" case, a particular tying method that forms the nipping turn by an ergonomically easy 180 degrees twist of the left hand to form the nipping turn, on the one hand, and an active participation of the right hand, which is feeding the working end into the nipping turn two times, and forms the collar in the mean time, on the other.
Visit the Google Images to see what the "overhand grip" and the "underhand grip" is, imagine a line in place of the high bar, imagine an underhand grip, imagine the end of this line near the right hand, imagine the left hand making a clock-wise 180 degrees turn, imagine the right hand feeding the end of the line into the formed nipping turn from above/up to below/down, and then use what will be left from your imagination to figure out the rest !

Congratulations, alpineer. Your previous twistings were ironed out by this straightforward idea.