Yes I've heard that Eaglejet is recruiting Australians with 1,000 TT but I don't know if anyone has actually been hired this way, or what kind of visa arrangements they might have. It's possible that Eaglejet is simply passing qualified resumes/CVs to Ameriflight or others.
Review of online immigration databases for E3 visas yield no results for Eaglejet nor Ameriflight, though it's possible that these public databases may not be 100% up to date.