But would the manufacturer then offer a distinct filter instead of coloring the cover in first place? I rather assume that utmost cutoff with their means would create too much yelllow hue in the light, so that they added the doubling filter for extreme needs.
Hi again, I have no idea why the "distinct filter" vs having the filtration built into the cover. But presumably there must have been SOME reason.
I don't see an "extreme need" as explanation. In my view, there would only be two purposes for "filters," one would be for color balancing to match some other source, the other is to block UV to prevent bluish fluorescence of things with brighteners, such as wedding dresses or white shirts. And the UV is easily blocked by a single Wratten 2B. A second 2B would not improve the UV situation further, as it is completely done by the first filter, but it WOULD shift the average cutoff point upwards slightly, by (roughly) 5 or 10 nm, I think. If you calculated a CCT ("color temp") with a doubled 2B filter I'm sure it would shift slightly, but this is not a good way to control color temp - the better way is with filters that attenuate the entire spectrum, not just the UV-blue cutoff point.
As a note, I did also look at spectrums of several hot shoe flashes. I was a little surprised that the higher-quality ones had almost identical spectral output, with almost nothing past 400 nm present. (I would not expect ANY UV-induced fluorescence from these.) I am guessing that your flash unit is in this class, and, although I didn't say it earlier, this is part of the reason why I don't think your extra filter would do anything useful for you.
As a note, the practical sort of test we did was to include two samples of "white paper," one with and one without brighteners, in test photos. We photographed these with "professional" flash as a baseline, then compared against the "test" flash. Evaluation was to see if the paper with brighteners took on a bluish tinge relative to the other paper. This is something that can be done without instruments once you know what you have. Note: almost all high quality white paper contains brighteners, and the best source for non-brightener might be a piece of "museum grade" mount board from an art supply store. They can be verified under black light, such as might be found in many nightclubs - the brighteners will "glow" in the dark. (Ps, the "nearly clear" UV filter will make a dark shadow on the "glowing" paper, and presumably so will your "yellowish" cover.) (Pps, obviously a "pure white" image of paper won't be able to show any color, so must be darkened a bit to see the bluish tinge.)