Nope.
Phil , David (Duval) , Payne , John Daley, Rory , all would have been there regardless
Arnie and Jack still paved the way age wise regardless.
Tom (Watson) to an extent also , nearly winning The Open (British) at his age.
Update
Comminuted fracture right leg
Foot and ankle pins/screws.
You have missed the point, by a wide margin. Rory McIlroy (31), by far the youngest in your list, was influenced by Tiger and patterned his golf swing after Tiger. The other golfers Mickelson (50), Duval (49), and Daly (54), and Payne Steward (deceased) are all older than Tiger. They are contemporaries who competed against Tiger starting in his early pro career and lost to Tiger time after time.
If you listen to the PGA players at the top of the game today, many, many of them were inspired to choose golf as a career because of Tiger. If you missed this, either you haven't been paying attention, or you allow your personal distaste for Tiger cloud reality.