Supposing you do hit the lottery and get a key somewhere in your packet, you now have to find the starting byte for it, which means having data to attempt to decrypt it with. However, now you get bit by the fact that you don't have any privileged information or credentials, so you have no idea where decryptable information lives.
Assuming you are even able to intercept some traffic that's encrypted, you now have to try every word-aligned 256B(?) string of data you collected from the server, and hope you can decrypt the data. The amount of storage and processing time for this is already ridiculous, since you have to manually check if the data looks "good" or not.
The odds of all of these things lining up is infinitesimal for anything worth being worried about (banks, credit cards, etc.), so the effort involved far outweighs the payoffs (you only get 1 person's information after all of that). This is especially true when compared with traditional means of collecting this data through more generic viruses and social engineering.
So, while I'll be updating my personal systems, I'm not going to jump on to the "the sky is falling" train just yet, until someone can give a good example of how this could be practically exploited.