You CAN fight Director Schmector after the Javamatic

[Lamman]

Everyone online is saying you have to fight Dir Schmector before the javamatic, but I proved it in my world. As long as Dr Tully can follow you, you can defend the javamatic then fight all the side bosses including Schmector and still finish the game.

[Angel]

you can fight Director Schmector any time after you have "rescued" Dr Tully. doesn't mather if you finished the game before nor where Tully is since He will teleport next to the door once you are near it.