Either both messages exist truly, simultaneously and in opposition to the other, or there is no message. It can't be both and I think it pretty much has to be the latter.
yes it can be both. any communication based upon symbols has a level of subjectivity.
even an "absolute" "empirical" symbol based system like math has subjective meaning, usually based on igorance. such as to someone who understands the language of calculus, a calculus equation would have an absolute meaning, but to someone who does not understand the language of calculus, that same equation could mean "warning, boringness!" or "you stupid fuck*ng guy, you should have woke up earlier during college" or any number of thing.
in the case of something such as a citation of content, especially somehting like the "bible" of which not only multiple productions exist, but multiple translations and NUMEROUS interpretations of those various bits of langauge exist COMPOUNDED with incredibly vast differences of knowledge of those various bits of language,
i can not see how all the conditions you described COULD NOT exist simultaneously.
to whit and for example (hypothetical)
you know the bible,
he knows of the bible,
she knows not of the bible.
you see a citation and know the verse and therefor the information it refers to.
he knows that the citation is a reference to the bible.
she sees gibberish on a fast food cup.
add to those three reactions a near infinite number of subjective non-rational responses, and the meaning conveyed, while "real" or "perceived", becomes staggeringly large for a simple coke to go.