I think you are getting to a straw man argument, here. Kershner was an acknowledged skillful pilot and instructor but he was not, so far as I am aware, a certification engineer .. although I have no doubt he was quite knowledgeable in the discipline. I see naught in your cited reference to his book which is not concordant with what I suggested in earlier posts.
In essence, I can only suggest that you reread what I wrote earlier and, perhaps, visit and have a read of the relevant FARs with your blinkers removed.
First point, Va is a certification definition and only exists, per se, for gross weight, by definition.
Second point, the certification of an aircraft is predicated on a design limit load factor which may not be exceeded intentionally.
Third point, for any weight less than gross for the typical manouevring envelope situation, the maximum speed at which you are able to apply a sudden full elevator input must reduce to maintain the stall-at-limit-load-factor scenario. While you may read references in POHs to reducing Va, that is only a convenient, if somewhat imprecise, terminology .. Va is only defined for gross weight. Now, we all tend to use the term Va for the reduced speed/weight thing. Perhaps that imprecise, but convenient, terminology is what has caused your confusion ?
At gross weight, Va most definitely will provide protection to the wing .. along with the rest of the aircraft's structure. Perhaps you can analyse 23.335 and point to how that view is other than reasonable and correct ? If it helps, the following are the A/L 23-48 words -
Sec. 23.335
Design airspeeds.
(c) Design maneuvering speed VA.
For VA, the following applies:
(1) VA may not be less than VS where--
(i) VS is a computed stalling speed with flaps retracted at the design weight, normally based on the maximum airplane normal force
coefficients, CNA; and
(ii) n is the limit maneuvering load factor used in design.
(2) The value of VA need not exceed the value of VC used in design.
Looking at your last post, specifically,
The original post was that Va is not about preserving the structure of the wing.
Fine, now explain how that is valid for gross weight, which is the weight for which Va is defined ? I note that Va is about ALL the structure, not just the wing ... In your first post, you then go on to suggest that
If that was true, Va would not decrease with decreased aircraft load.
Va does not reduce with reducing weight, as Va is only defined for gross weight. The reduced speed at a reduced weight, often referred to erroneously as Va, is so specified not to preserve the wing structure but to preserve the limit load factor basis of the Type certification which, in turn, is relevant to the overall structural design of the aircraft. While I don't have a copy of Bob's texts, I note that the reference you make in your first post does not, at all, show that Bob's text is concerned with reducing weight ?
11,400 pounds will be developed as before.
Kershner is being appropriately simplistic for the point of his argument in a pilot forum and I have no concern with that. However, his statement presumes a rigid structure and that the higher pitch rate will have no effect. In respect of the first presumption, we can only speculate without data. For the second, I assure you, pitch rate has a significant effect and it is for this reason that certification stalls (intended to get POH data) are performed at a very low pitch rate. The extent to which these factors may alter the conclusion is more complex that appropriate to discuss here.
In a subsequent post you state
Said it before, say it again, the amount of force the wings can cope with does not explain why Va lowers with lowering airplane weight
I have no argument with that. However, your argument's logic is flawed as the reduction in speed with weight has naught to do with the wing structure, specifically. Rather, it is all about maintaining the certification limit load factor.
The regs you quote are what is irrelevant to the discussion.
I'll leave that for you to argue with the Bench should your ideas ever be tested in Court.
Your thesis is that the change in the load distribution, associated with a lower load, might adversely affect the main spar.
Read what I said rather than what you wish to read ...
So, please, show me a reference that credibly says that Va decreasing with decreasing weight is to protect the wing spar
I suggest that you won't find such a statement in any credible reference because that's not what the story is ... it is a figment of your own imagination drawn, I suggest, from an unfortunate misreading or misinterpretation of what you have read from whatever source.
Just to recap. Kirshner says that if you are at half max weight, in a GA aircraft, and you pull 7.6 g's, "The wings are alright."
Subject to the side issues to which I referred earlier, that possibly will be the case. However, the argument puts the aircraft in a situation for which the Design Standards expressly do not account and, simultaneously, put the pilot in a difficult situation if something else lets go .. not to mention the probable argument difficulties the pilot will have in Court should he survive the accident.