I’m sorry to disagree, but there is a connector, similar to the one for the fan (but much smaller, and more fragile). Do not pull the wires out of the socket! Best tip was to use a spudger to gently lever under the wires near the connector so that it pops up vertically.
I positioned the case on my lap so that I could get my hands under and around the side of the case, with just my thumbs inside. It came out effortlessly. Before that I tried sliding it out with the Mac on my workbench and it wasn’t moving.
The tightness is just caused by the blue stuff they use to seal the screw in the hole (presumably for warranty purposes). As koopsmooth says, put your strength and speed into the twist and not the press so that the seal snaps.
I found it easier to move the antenna plate (instead of the connector) until the connector was over the socket, and then gently push down with my finger until there was a clear click. The same strategy helped me get the metal tab correctly positioned over the hole.