okay so going with your analogy it's like publishing a picture of what's inside the vault but you publish the picture encrypted. imagine the encryption is a 20-letter random password in winzip (imagine winzip is secure) with the picture of what is in the vault. Although only an insider knows what's in the vault, the public gets the encrypted picture. Every day you publish one more letter of the passwrod. So if the password is p?jbAL;nQpg-37(z(feH then on day 1 you publish just "p" (the first letter) so now it's as strong as 19-letter password since you gave them the first letter.
I don't know what will happen exactly between day 1 and day 20, but on day 19 anyone can just try every 20-leter password with the first 19 letters you've published by that date. So if by then you've published p?jbAL;nQpg-37(z(fe already they'll just try
p?jbAL;nQpg-37(z(feA
p?jbAL;nQpg-37(z(feB
p?jbAL;nQpg-37(z(feC
p?jbAL;nQpg-37(z(feD
in winzip. Anyone can just try all of them until they find the one that unlocks it. So on day 19 if it's worth knowing, for sure someone will take a minute or two to try it. Not that hard if there's just 1 missing letter.
So for sure if you tell people it's a 20-letter password and give them 19 letters they will figure it out before you've given them the last letter.
All right, but on day 1 nobody can guess all 20 characters in the password. That's too hard. it's impossible.
So every day you make it easier, but it'll be "broken" sometime between day 1 and day 20, assuming that the insider information doesn't leak in any other way. that means that someone will break it but not on day 1. on some day between day 1 and day 20. The person who analyzes it "best" will have the insider information first, but for sure we don't have to wait until day 20 because by then it's ridiculously easy to analyze.
meanwhile you're making the analysis easier and easier. the person who can do the analysis best will have it first, and this proves that there's no "infinitely great analysis" already being done all the time by public markets. it's a simple demonstration of this fact. I don't think you actually need to do the experiment to now the results. hope this helps.