The reason zinc works is because it is a cofactor for the surface protein (ACE-2) that the virus attacks. The virus attacks these proteins and turns them off. The increased zinc keeps them active. The reason Vitamin D (and HCQ) work is because they help get the zinc into the cells to do their job.

I do not know what role they would play, if any, in diffusing the cytokine storm the virus can cause that results in an autoimmune response. I have not looked into the pathways of that mechanism. I'm not sure many have because my previous attempts I was unable to find good information on it. It requires some deep digging. I will probably do that at some point, I just haven't gotten around to it.

I would say it is probable that having sufficient vitamins (including B's and C, along with D, K, zinc, and other metals) is very likely to have a positive effect. Having insufficient enzyme cofactors (what people call vitamins) is a common cause of an overreaction to a viral or bacterial attack (AKA a malfunctioning or deficient immune system).

So I would give the answer to your question as a definite maybe. I will do my due diligence at some point and figure out the whole pathogenic priming effect in relation to the coronavirus.