Basing on the replies, I am thinking it's BBO only that they are using more fancy and confusing words to a trader who is used to how direct other exchange are with market orders. The Customer service assist also doesn't seem to get enough explanation to you in regard to the execution of BBO when you asked him in the second part.
But BBO doesn't let you determine the price you want to buy or sell, just like the Market order.
However, I just read the tooltip text for the "post only" checkbox option available under limit orders, which contrarily to the documentation asserts that market execution is possible:
Post-only orders will not be immediately executed in the market, thus ensuring the trader remains a maker. If the order is immediately matched with an existing order in the market, the post-only order will be cancelled
If it's checked, it will not immediately execute on the market , but it if the market price swings just as you are creating the order, it gets cancelled. However, if you open a limit order where post only remains unchecked, if the market swings just as you are creating your order, it will get filled at the market price