Progress!
Such progress, why I'm proud of you, now...
Yet being that what you say above is indeed true -- then John Wycliffe was correct enough, Calvin was correct enough, John Jewel and Richard Hooker were correct enough, being that all agree with you in the above, highlighted statement -- which agrees with what Christ Himself said about the subject [which subject was Himself, in relation to the 'lost sheep of the house of Israel', ie -- those persons whom the Father would draw to Himself].
I have no interest in what sundry charlatans taught, but if they also were familiar with "the flesh profiteth nothing" passage and concluded from it that the Holy Eucharist is there to profit, rather, our spirit, then yes, they understood it correctly. Even an ignorant Protestant pastor can we correct once in a while.