I tested my cells before settling on the construction method and after finding only a naturally occuring chemically produced polarity between the Cathode terminal and the case, I wasn't convinced additional insulators were needed. I was actually considering the removal of the blue insulator film that comes with them and tying all the cases together, in effect, puposely grounding them to one another.
I think that will accelerate the failure mode some people's packs have experienced.
In each cell there are two electrodes, relative to each other they are nominally 3.4V apart.
Both of those electrodes is soaked in liquid, and the liquid is also in contact with the cell cases.
Unless there is an insulating wrap around outside of electrode roll, one electrode has much more surface area with thin layer of electrolyte to case.
If you try connecting each terminal to the case externally one at a time, I would expect contact with the terminal not having intimate electrolyte path to case to result in some current flow, might grow an oxide layer.
If you connect 16 cells in series, first and last cell are nominally 16 x 3.4V = 54.4V apart at the terminals.
The cases will have electrolyte path to terminals 15 x 3.4V = 51V apart.
You have now created a cell consisting of one case, electrolyte, cell electrode, 51V source, cell electrode, electrolyte, other case.
And you have bonded the cases together, perhaps to ground as you suggest.
51V / 2 = 25.5V across case, electrolyte, cell electrode.
I expect that to break down anything in the way, conduct current, etch through either the case or the electrode. Due to applied voltage polarity to each of these two parasitic cells, I expect one to etch through the case, the other to etch through the electrode.
Would you lay a wet towel on top off all your cell terminals and a sheet of metal on top of that?