CNET actually has clout to speak to the more direct people at VZW, unlike Gottamobile's speculation as news:
Will Verizon ever sell a Samsung Galaxy S4 with more storage? | Mobile - CNET News
In summary, Verizon reps do not know if they will or will not carry a 32GB, but the impression given is not to hold your breath on it for now. Especially for launch. I guess I need to look at my 32GB S3 like "new" again.
I stick with the assertion that unless their PLANNED sales targets are compromised, my guess is we will not see a 32GB. Making fiscal plans and targets to get their bonus checks is what drives them. The S4 would have to underperform to their likely sandbagged projections. Not sure that will happen. 50/50 chance went to 10/90 for me. Boo!