I have a clear idea of how I prefer to tie a bowline, and I expect to present images of the knot as it will be seen by the tyer using this method.
I do not believe that this is a strong argument in favour of any particular view, either of the conventionally most used one, by the "Traditionalists", or of the "other" one, by the "Radicals"... In fact, it may be considered as
undermining the value of the original idea, that the bowline should be shown not as
it happens to be tied by the one or the other individual ( due to their different experiences, dexterities, or ways to perceive and memorize complex 3D objects by using 2D / flattened simplified images of them ), but as it would be more convenient to be shown, if the purpose of the representation is to show the geometric and structural characteristics of this knot in the "best" ( the most detail revealing ) way.
Of course, we should not underestimate the educational value of every picture, itself worth of a thousand words....
Shape matters, because very often it does not remain a "contour", only, of a real object, an abstraction that refers to it, but it plays the very important role of a
mental image as well - a very powerful thing ! We should never underestimate the power of an established shape, which can serve as
a symbol, in the service of a good and/or an evil cause.
...the quick-tie method ...
There is no such thing as "
the" quick tying method ! Moreover, the well known quick tying method starting from a slip knot does not involve either the "one" or the "other" view ! Nor does the super-quick tying methods that are able to form the bowline in mid air, where the segments of the rope cab be arranged and entangled in space faster than they can fall...
We might gain confirmation of the benefit of one method.
Two classes of boy scouts, who had never seen a bowline in their lives - two teachers that will teach them two different methods, each one involving the opposite "front" view from the other - and an IGKT committee posing the final examinations after, say two weeks of intense brain-washing !

That would be very interesting, indeed !