K.C., I don't know whether you've ever posted any picture of your setup, but you did post Mike Gillum's setup here:

Mike's setup marries a 4:1 cascade with a 6:1 purchase, so that should be a 24:1 total purchase in the ideal (friction free) case. The various lines run altogether around 9 sheaves. This makes for an interesting challenge in estimating the losses due to friction.
I calculate the actual purchase as P = 24 - 96 * loss + 188 * loss * loss, where "loss" is the percentage loss at each sheave. The full formula has terms with higher power of loss, in this case up to sixth power, but since we assume that the loss is a few percent (much less than 50%) the first three terms should be enough for a good approximation.
For 5% loss, the purchase effectively acts as a 19.5:1 purchase.
For 10% loss the vang effectively acts as a 16:1 purchase.
Even the best Harken TTR blocks with claimed 2% loss, would reduce the vang to a 22:1 purchase.
Now, the interesting thing about this, is that the loss in the
cascade could be made higher (by using eyes instead of blocks) without changing these results dramatically.
What happens if these latter stage blocks / eyes have 4 * the loss?
The formula then becomes P = 25 - 132 * loss + 404 * loss * loss., where 'loss' is the first stage loss, and the assumption that the loss at each stage of the cascade is higher, has been worked into the formula.
For 5%/20% the calculated purchase is 18.5:1, which is really not much worse than what we get with 5%/5% loss.
For 10%/40% we still get a 15:1 (now as loss figures approach 50%, the approximations in the formulas will no longer hold, so the real number may be lower, say 12:1).
Using super-duper blocks in the tackle and standard blocks in the cascade, or the 2%/8% case, would result in a 21.5 purchase.
So, it seems that J24 vang, isn't quite as terrible as it looks - however, it could use a better purchase in its initial parts, by adding a tackle (I have no idea whether the J24 vang is operated with a winch).
The problem with a cascade is always that the range of adjustment is so limited. Otherwise, the most efficient approach might be a 16:1 cascade....
A 16:1 cascade would use fewer parts which should make it competitive against variations of the vang as discussed so far that don't involve the final block in the deck and therefore only get a 20:1 ideal purchase, but with nearly the same losses. (If the cleat is at the lower block, as is common, then the tackle is rove "to disadvantage" and you get only a 5:1 purchase).
(A link to a nice explanation of the
theory behind these calculations).