Well, you can still fire someone for any reason in "right to work" states. Fighting this is really hard.

The use of a "trial week" says to me that the company in question sucks at being able to accurately assess candidates, and is taking the cheap and easy (for them) way out. I know that other companies are capable of doing a good job of interviewing someone in a day or two, why can't these people?

I can't think of any circumstance under which I'd entertain an offer on these terms. I don't think any of the people I've worked with and can recommend would, either. This company is probably losing good people up front; folks who have been around, have experience, and can go elsewhere with less hassle, and so who don't bother to send in a resume.

All told: Meh. I'm not impressed.