The highlighted comments come across as biased, unobjective and not reflective of Verity's immense standing in his own era.
During his own era, Verity was certainly considered one of the all time great bowlers. For instance, here is a quote from his Wisden obituary:
"Judged by any standard, Verity was a great bowler. Merely to watch him was to know that. The balance of the run up, the high ease of the left-handed action, the scrupulous length, the pensive variety, all proclaimed the master. He combined nature with art to a degree not equalled by any other English bowler of our time. He received a handsome legacy of skill and, by an application that verged on scientific research, turned it into a fortune. There have been bowlers who have reached greatness without knowing, or, perhaps, caring to know just how or why; but Verity could analyse his own intentions without losing the joy of surprise and describe their effect without losing the company of a listener. He was the ever-learning professor, justly proud yet utterly humble."
Your comments about Verity lacking the variation of the best bowlers are also inaccurate. In 1944, R.C. Robertson-Glasgow wrote:
"Naturally, on wet or crumbled or sticky pitches, he reduced pace and tossed the leg-spinner higher, but even here
his variety of pace and of angle of delivery was remarkable. He was a born schemer; tireless, but never wild, in experiment; as sensitive in observation as a good host, or as an instrumentalist who spots a rival on the beat; the scholar who does not only dream, the inventor who can make it work. "
There was no consensus in favour of Grimmett over Verity during their own time, at least amongst the best players. For instance, in Verity's Wisden obituary, Bradman is quoted as saying "I think I know all about Clarrie (Grimmett), but with Hedley I am never sure. You see, there's no breaking point with him." In several other interviews, Bradman repeated his view that Verity was more difficult to face than Grimmett. In Ronald Mason's biography of Walter Hammond, he said Hammond considered Bill O'Reilly and Hedley Verity to be the best spinners he ever played against.
A few more statistical things to consider:
- While Verity was indeed relatively ineffective in the 1936-37 Ashes, it should be noted he far outbowled Grimmett in 1932/33, the only Ashes series they both played in Australia (Verity 12 wickets @ 27, Grimmett 5 wickets @ 65).
- Verity got Bradman out more times in Tests than anyone else in the 1930s, and averaged less than 60 against him, a really commendable record.
- Grimmett's test bowing average is boosted by his dominance of the weaker teams. He had to work much harder for his wickets against England, averaging 32 against them. Verity was more successful against an Australian side including Bradman.
- Verity once took 15 wickets in a single day against Australia. Grimmett never got close to this against England.
- Verity's first class record is leagues ahead, averaging 14 against 22 by Grimmett. With only 6 Australian states as opposed to umpteen counties, perhaps the standard of batting in Australian first class cricket was higher and Grimmett certainly wouldn't have bowled on as many sticky wickets. But these factors did not stop O'Reilly achieving a similar first class record to Verity on the same pitches Grimmett played on. Also, if we consider English first class cricket only, Grimmett's first class record is still materially worse than Verity.