I have never seen a 7 pin trailer connector that did not fit in the socket I have somewhere... That said, I have seen some differences between the meaning of the odd wire.. More on that in a bit.
There are also 4, 5 and six pin connectors and those can be real fun.. About the only one I've seen that is 100% always the same is the flat 4
ON the 7 pins. There are the big 4 (RT/Stop, LT/Stop, Tail, Ground) there is the Brake lead, the Battery charge lead and that last "AUX" lead, sometimes used for backup lights, sometimes for other things.
And the Brake lead... Brake controllers and systems work differently.. MOST all trailers (I mean the kind without a motor in them) the controller provides power to the brakes.
But on the car I used to tow, the towed was the source of the power on that pin and taking it to ground applied the brakes... This one would only apply to motor homes with towed cars.
But when it comes to trailers... All the 7 pin plugs I've seen fit the sockets.