Have you thought about modifying the V-index so that you don't compare to post payout value in Steem Power directly but instead to that post payout divided by some factor? For example, you could divide by the average payout value of posts at the time? Perhaps the average would be an average within some moving time window. And it wouldn't have to be a mean, perhaps a median or some other statistic on the distribution of post payouts within the time window would be a better value for the factor. Anyway, then you could saying something like, "If the V-index of an author is X, it means they have X posts that each earned at least X times the 30-day average payout at the time they were posted." I think that would be better because right now you are already sort of arbitrarily choosing a factor. And the risk is that if you choose a factor that is too large then everyone's V-index would be restricted to a very narrow range (possibly all 0 even) and thus be useless, or alternatively, if the factor is too small, then the V-index basically reduces to the number of posts of the author, which would make it a redundant metric.
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Very good points. I had considered a few alternatives, perhaps I should use (regularized) rshares, as I originally was considering, since those2 represent the relative rewards a post gets compared to all of the others for that 24 (I guess 12 now) hour period, if I understand it correctly.
On your second point, empirically the formula I use seems to give very reasonable values for two cases: 1) accounts like mine, which have a very small number of popular posts, and a medium number of not-popular posts. 2) accounts with a large number of popular posts, but also a large number of posts. As I continue to try other cases, they seem to form a reasonable spectrum, but I'm open to tweaking it if a better metric is suggested.
To your original point, I'll need to go forward with acquiring the measure for all users before I can regularize it. Alternatively, I'll need a good way of figuring out the total-payout at an arbitrary time-point. I haven't figured out how to get anything more complicated than the agreed-upon past 30-day SBD values.