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Hard to say, out of the 11 modern era perfect games where the pitcher is eligible for the Hall of Fame, five of them are in the hall (and one also became a U.S. Senator).
Of the remaining five eligible (Kenny Rogers, David Wells, David Cone, Randy Johnson, Mark Buehrle) at least one will definitely be going (Johnson). So that is a minimum of 37.5% representation from the games elite.
That said, Nolan Ryan is in the Hall of Fame as well and I believe he alone accounts for 73% of all no hitters thrown in the modern era.
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