You make a very good point and one that I have also raised before. The trade ticket broker designation only identifies the "market participant" who executed the trade, and not the ultimate owner of the shares. With the shares trading thinly on some days, you can readily identify your own trades, and see how the names show up on the trading record. Many brokerage houses now offer self directed trading accounts, with trades initiated by their clients showing up under their name. I also understand that the "Anon" is a classification and not a single broker: you can chose to mask your trade identity if you are prepared to pay a fee to the exchange to do so.
Welcome to the Board, and I appreciate your posting.