I looked at his website. This Jones guy isn't all that convincing either. Is this all you've got?
No, there are other people I know and respect who have analyzed the situation, and agree with the Bp. of Mostar, who is the one with authority at the moment.
As for Mr. Jones, I'm quite familiar with his other writing, and my assessment is that he is an insightful thinker and careful scholar. Three of his books, Degenerate Moderns, Dionysos Rising, and Living Machines, are available from Fr. Fessio's Ignatius Press. I am presently reading Libido Dominandi. All are essentially critiques of modernism.
The solidity of his other works doesn't mean, of course, that he is right in this instance, but it bodes well.