I don't question specific players. Steroids were too rampant, and I'm not going to accuse single players, just the entire group.
That being said, when he first started having some freak muscle injuries, people were saying (not directly about Griffey) that freak muscle injuries were tied to steroids. I ultimately don't think Griffey used steroids, though, at least not beyond maybe trying them and deciding against them.
That being said, Griffey's reputation and HOF career was built on his first 10-11 seasons in MLB. Go look at his second decade in MLB. Not bad by any means, but not great, statistically-speaking. And he missed a shit-ton of games that second decade. As impressive as he was (and I was a huge fan), it's almost the tale of two careers.