You mean there's evidence but not proof.
Can you provide some sources?
My understanding was there were many different tests being used ... so on what basis are you making that generalised statement.
> When you recover from it, you don't still have it, even if you test positive. //
A plausible explanation for specific tests doesn't make this a universal truth; so presumably you are relying on more information? Also, there being an explanation for positive tests based on dead virus, doesn't mean all post-infection positive tests are due to dead virus; that's a massive assumption.
.. assuming the virus can not hide (and be able to leave) where they can't penetrate - like in the eye ?
.. and with weak immune system the outcome may be (how?)long undecided as the antibodies are not being able to fight the virus fast enough to finish it definitely?
Are they all false? Don't know. There's hope, but not yet evidence, so far as I know.