Jack '62-74:
12 major wins; 10 runner-ups
Jack major wins:
62 US Open (Palmer 2nd); 67 US Open (Palmer 2nd); 72 US Open (Crampton 2nd).
63 PGA (Ragan 2nd); 71 PGA (Casper 2nd), 73 PGA (Crampton 2nd)
63 Masters (Lema 2nd); 65 Masters (Palmer, Player T-2nd); 66 Masters (Jacobs, Brewer T-2nd); 72 Masters (Crampton, Mitchell, Weiskopf T-2nd)
66 BOpen (Sanders, Thomas T-2nd); 70 BOpen (Sanders 2nd).
The players that finished second to Jack in majors during this period won a total of 21 majors, 13 during the 62-74 time period.
Jack runner-up finishes in majors (winners in () ):
64 Masters (Palmer); 64 BOpen (Lema); 64 PGA (Nichols); 65 PGA (Marr); 67 BOpen (de Vincenzo); 68 US Open (Trevino); 68 BOpen (Player); 71 Masters (Coody); 71 US Open (Trevino); 72 BOpen (Trevino).
The players that won majors when Jack finished second won a total of 27 majors in their careers, including 16 during the '62-74 time period.
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Tiger 97-09:
14 major wins, five runner-up finishes
Tiger major wins (runner-up in () ):
08 US Open (Mediate); 02 US Open (Mickelson); 00 US Open (Els/Jimenez)
06 BOpen (DiMarco); 05 BOpen (Montgomerie); 00 BOpen (Els/Bjorn)
07 PGA (Austin); 06 PGA (Micheel); 00 PGA (May); 99 PGA (Garcia)
05 Masters (DiMarco); 02 Masters (Goosen); 01 Masters (Duval); 97 Masters (Kite)
The players that finished second to Tiger in majors so far have won 11 majors, nine of them during the 97-09 period.
Tiger runner-up finishes in majors (winners in () ):
08 Masters (Immelman); 07 Masters (Johnson); 07 US Open (Cabrera); 05 US Open (Campbell); 02 PGA (Beem)
The players that won majors when Tiger finished second have won a total of six majors, all during the 97-09 period.
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So during the first 13 years of their careers, Jack competed against, and won, majors over players who won nearly 50 percent more majors than Tiger's comparable competition. Jack also had finished runner-up in majors twice as many times as Tiger, and the players who beat him won nearly three times as many majors as the players who beat Tiger during the same period.
I'd say it's still open to debate.