Twin Peaks is a surrealistic visual adventure so having a tattoo that follows that theme is understood by me. That being said any surrealistic tattoo is going to get odd looks = and that's OK, as long as you don't mind answering the questions that will arise.
That being said, you're going to need a very high quality artist to pull off the artwork needed to make sure your surrealistic image is readable (even to the initiated). Abstract floor patterns and especially curtains are going to have to not just look random or sloppy.
Who is your artist?