I was under the assumption that when I place a limit order to buy or sell an option, the order is broadcast to all of those exchanges simultaneously.
Just to be clear, orders are not "broadcasted" to the exchanges. They are either routed there or not. Each exchange has their own order book, then OPRA disseminates the quotes for each exchange. You either pay for L1 or L2. L2 provides a view of each exchange vs just the NBBO for L1.
When you use Direct Market Access, you have the
expectation that your order will go directly to the exchange you choose. When you use anyone's
SMART route, you have no idea where that order will end up. Just because they call it "
SMART", doesn't mean you are getting a better execution. What is
typical for an option SMART route, is directing that order to either an option market maker or a group of them. If they don't execute that order at the time of entry, it should be sent to the exchange that fits their needs, not yours. That might mean lower fees for them or higher rebates for them. What many SMART option routes offer is a means of entry to avoid the option exchange maker/taker fees, which many retail customer prefer. Some SMART routes enter option dark pools. Some are tied to an algo to search for liquidity, rebate etc. These often cost extra and are not often available to retail traders.
The fact that that order was NOT shown after a short time, say 1 to 2 seconds, and it was improving the NBBO, only leaves a few explanations. Your order never arrived at any exchange, your order did arrive but the exchange did not update yet from system issues, your market data was delayed or frozen on your trading platfrom. I can't think of another reason that makes sense. What I can't tell is which one happened to you. I suspect if it happens everyday, it is likely that your order was not posted to one of the 14 option exchanges.
Bob