It should satisfy any unprejudiced reader of the printed History as we now have it, and to that extent emphasize the authenticity.
An interesting sidelight on Swift's History is thrown by Chesterfield in a letter he wrote to Dr.Chenevix, Bishop of Waterford, on May 23rd, 1758.

We must believe that the noble lord wrote in good faith and certainly in the full belief that the work he was criticising was the work of Swift.

Chesterfield's criticism points directly to Swift as the author, since his justification for Bolingbroke's story is to be found in the work as Lucas printed it in 1758.

Speaking of the History, Chesterfield calls it "a party pamphlet, founded on the lie of the day, which, as lord Bolingbroke who had read it often assured me, was coined and delivered out to him, to write Examiners, and other political papers upon.

That spirit remarkably runs through it.