Yes that's how things work on itch/ouch. Downside with that is you can see your order hit the feed before you know it's yours. For people who want to exclude their orders from their view of the market, they have to build heuristics to handle this case or risk flashing/chasing their own tail.
Also doesn't help the IOC case. If market data dissemination is usually faster than the private order entry/ack/fill channel, it would be better to know that a trade resulted from my IOC by seeing it on the data feed rather than waiting.