Dear Anbu, Sorry , I have used the word authentic to stress the word "Documented". When one experience a fact "within", a belief can be confirmed whether it is Truth of fictious.
Dear SP, Of course physical separation saddened Radha, untill she Self-Realizes the Truth about Physical reality and Consciousness. That knowledge she experiences , giving "Bliss". Then becoming a "flute" is a symbolic of the Pranavam (Consciousness).
Again from this Truth of Physical, the bliss is same for Aandal and Meera. What Radha enjoyed with a physical human body which is made of electrons and protons , Andal and Meera also enjoyed with a stone idol which is also made of electrons and protons. The bliss lies in beyond this material electrons and protons, which all the 3 shared the same.