Your actual argument depends on the sense of the word "take" that you use.
(a) It is a well-established norm in any modern society that it's immoral to take (move) something without permission.
(b) It is not well-established -- or at least, pirates would like to say that it's controversial -- that it's immoral to take (copy) something without permission.
(c) It's even less well-established that it's immoral to take (purchase) something with permission and then crack the DRM or produce further copies to share with other people.
Nobody disagrees with you about (a). But you're extrapolating that view to (b) and (c), and that part of the argument seems to hinge upon an equivocation of the different senses of "take".
Content producers have a shaky argument because they want to use the "moving" sense of the word "take" to argue that (b) is immoral, while using something like the "copying" sense of the word "take" to argue that (c) is immoral. (If ownership of the movie was actually moved when you purchased it, it's none of their business what you do with the DVD you now own!) Don't make the same mistake of equivocation. This is not an argument that piracy is OK. I'm just trying to point out that there are good and bad ways to argue against piracy.
Please don't focus on the word "take", instead the actual argument :|