Having researched this many times over the last three years, the answer is simple. Christ said no such thing.
Two things to think about:
1. Who was he talking to here? The anointed? Nope. None of them were anointed at this point in time.
2. When the evening meal was instituted, were the apostles anointed? Nope. That didn't happen until later in Jerusalem.
Go back to verse 53:
So Jesus said to them: “Most truly I say to you, unless you eat the flesh of the Son of man and drink his blood, you have no life in yourselves."
WTBTS applies the "you have no life in yourselves" portion of this verse to BOTH the anointed and the great crowd (their definition of such). But, note that Christ said "unless". There is no "except if you're not of the anointed" here (or anywhere else for that matter.)
Go back to verse 51:
I am the living bread that came down from heaven. If anyone eats of this bread he will live forever; and for a fact, the bread that I will give is my flesh in behalf of the life of the world.
There's so much in these few verses to indicate that partaking is for everyone. In fact, there's no a single verse in the Bible that limits who can partake. Not one.
Note these words, too, at Luke 6:46: "“Why, then, do you call me ‘Lord! Lord!’ but do not do the things I say?"
Food for thought.