Make sure you have the same side facing inwards (although it's not a show stopper if you reverse it)
There is only one way you can put a corrector plate in,
What are you talking about

Back to the original point,there was a smudge on the plate, all as he has to do is clean it.
End of story
It is BS to say removing it is Easy, a 14" corrector plate is not a light weight piece of glass.
Leave it alone unless there is a really big need to take it out to clean something off the inside.
BTW I have cleaned both inside and out and the mirror as well in the last twenty odd years.
The poster of this thread sounds as though he has not got a lot of experience with SCT's, so in my opinion would be best just to clean it as normal people would, and not strip it down to clean a bit of a smudge of the front of the corrector plate.
Cheers