The definition of wrong is given in the second part of the sentence you quote. Newton was usefully wrong in a scientific sense; His theory and ontology of time as immutably flowing from moment to moment is fine for beings in a relatively stable gravitational field but fails miserably anywhere else. GR is a theory that gets time less wrong, but entails completely different ontology wherein "forces" disappear. In your parlance, Newton put time below "that level" when he should have lifted it into that which must be reasoned about physically. This means he was wrong conceptually in taking something as an absolute when it was not so.
'Only for a useless definition of "parlour tricks".'
If you look at Newton's work it amounts to little more than a first order approximations, rules to model linear portions of a nonlinear reality. I think you have a very romantic picture of Newton's work. Don't get me wrong, Newton was a giant in his time he had mastered linear curve fitting and to some extent I think he knew what he was doing and that it would be supplanted. I actually think if Newton stood here today he would disagree with you, side with me and take up GR straight away.
"Newton being absorbed into relativity is like the one case where they are commensurable."
Newton's theory was not absorbed, it was supplanted. One cannot absorb the idea of a "force" into GR. This is precisely what incommensurability means.
"Obviously it contains new math and new abstractions..."
It is not about the data, Newton was wrong because non-euclidian geometry wasn't there,
"Postscript"
I have degrees in electronic engineering and theoretical physics. I graduated number one in my class both times. I am not a philosophy interloper as you point out in your ad-hominid attack.
IF you want to make progress in your understanding of physics you best heed the words and thoughts I have provided.