there are btc addresses tied to your wallet (in my analogy this would be an IP address) mapped to transactions with a major kicker being that the coin involved in these transactions is traceable back to where you acquired it and then back to where it was mined in the first place.

so my analogy is actually less 'severe' than the reality of the bitcoin setup.

No, but there are third-party databases that try to track the first IP seen for each transaction.

Well you could do that with any packet on the network, couldn't you? It's not specific to bitcoin. The transaction itself has no IP either.

P2P protocols like BitTorrent and Bitcoin are less private than client-server protocols. A random grad student in the Netherlands could track nearly every Bitcoin peer if they wanted to, but they can't track people posting to HN.