But what if some or all of those blockchain explorers are also honeypots that collect, store, and share user data with companies and agencies interested in conducting various kinds of analysis?
The point BlackHatCoiner was making that I was responding to is why do we have to broadcast our transactions through the same SPV servers which we use to obtain balance and transaction history for Electrum wallets. Doing what I have suggested here solves that issue. For safety reasons, you
should assume that every block explorer is collecting and sharing your data, just as you should assume that every SPV server is collecting and sharing your data.
As ranochigo has said, if you use connect to one of these sites via Tor to broadcast a transaction, then the site in question will only obtain the same information that everyone would be able to obtain when the transaction is broadcast through the network.