So, I get where you're coming from, but your position is predicated on the assumption that the rules need to make sense and be consistent, neither of which is the case.
The RAW here is illogical. It is still RAW. You are invisible, and the other creature can see you as if you weren't. Both are true. Because you are still invisible, you still gain any benefit of being invisible that isn't directly counteracted by the spell. TBH, even just adding the word "clearly" after "see" would make your position more likely to be true, though I'm not sure even that would change things. It would just push the RAW far enough into direct contradiction that it would have to be treated as a rule that doesn't work, and thus cannot be used RAW.