You are using the word perception to refer to something conceptually "dualistic"? Then you need the word "apperception" I guess, though I don't know that the word perception necessarily implies a perceiver-subject and a perceived-object. In other words, perception needn't mean "cognizing things" - it could be more open than that, perhaps.
Yes, as Wei Wu Wei pointed out, that is using the word in a way that is etymologically correct(I'll post his uniquely brilliant relevant passage). Then, as you say, the word apperception could be used to point to non-dual "perception". I HAVE seen terms such as "direct perception" and "pure perception" used for that.