I think he'd be borderline for me, and a lot would depend on the level of stats in your World. He's in one of the older Worlds, so the "steroid/training bug" had the *chance* to have maximum impact in it, so the overall numbers may be very skewed.
I'd have to suspect that is at least partially the case for Jamey to not make the AS game in some of the seasons he put up. Four of each position make the AS game each year, and while he may have lost a couple opportunities due to his flexibility and multiple positions, I'd still have expected him to be among the top 2 in his league at his position more than twice, given his numbers.
He's the type of player that is very dependent on World, in my mind. In the World I am most familiar with, we're only in S10, so only got a half-season of the steroid bug, and his numbers would earn him a HOF vote in my mind - but he'd also probably have 6-7 AS appearances in my World, given his numbers.