It isn't my bubble, autosynch - just what I've seen happen.
However, in looking at my post, I can see where it looks like I was saying that ALL those pilots were J1 folks. Not what I intended - you are right, most of those folks are US citizens or green-card holders - most of the J1 folks I know have gotten CFI jobs only (the two at Tex-Air are probably green-card holders as you said).
Mostly I just wanted to point out that there is a healthy turnover at HAI - I can definitely list fifteen instructors moving on in the last 12 months.