Thats about right. Id say late 1918 to early 1919 he really seemed to hit his stride and begin a very impressive roll. Id say starting with his eye injury his style changed slightly and he became more messy as a fighter, (probably due to a loss in depth perception). Its simply amazing that he had some of his greatest wins after he was past his prime but then again so has Bernard Hopkins so its not unheard of. From 1917 when he became a world class fighter until his third fight with Gene Tunney (which was still a very close, competetive fight) he only suffered one bad setback and that was his second fight with Tommy Gibbons where he didnt train very well and took Gibbons somewhat lightly. Tommy kicked his ass in that fight. From that point on Harry either defeated or held even every one he fought despite fighting guys who outweighed him by considerable amounts. Id say that by late 1922 when it had become apparent that his wife would die soon and then after her death and a few other pretty significant incidents in his life Harry was officially on the downside of his career. It took three years for him to slide all the way and only the removal of an eye and death knocked him out of what we would now call the top ten but by mid to late 1923 Harry was having a succession of sub par performances and you can really see that he was declining as a fighter.
I think he has a second account here. Klompton is very passionate about his boxing and probably got over-excited in a Greb debate