So, if its 555, you will have OEM quality?
Well, it's not that simple... The 555 is likely only marked on the casting, not on the ball (which is hidden inside the boot anyway). Your ONLY concern is the weakest part of the joint, which is typically the ball, not the casting. As such, if 555 is the OEM manufacturer of the whole joint, then for quality, you want to have a 555 ball and casting (so as to match the OEM part).
Now I don't know for sure how the whole reman process works, but if a company like Moog, Napa, or someone else is reman'ing the ball joint, then I think they are not likely getting a 555 ball, and working to the same INTERNAL specs as 555. So you could have a high quality (555) casting, with a POS ball, and since the ball is the weakest link, you risk early failure.
This is just my guess at how it is. If someone out there knows from experience how the reman process works, or knows details of specific company's reman process, I would love to hear it. I am making assumptions based on how the company I work for works, where we make custom parts for OEM's (to their spec), and we are contractually not allowed to sell those parts on the aftermarket (nor do we want to do this anyway). Some of our parts end up on the general market, but if we found out a customer sold our parts like that, then they would be in breach of contract as well.
So my point is that without intimate knowledge of Napa, or Moog's process, which I doubt even company reps have, the only way to make sure you are getting OEM quality (555) joint, and not just oem quality casting with a crap ball, you have to go through Toyota distribution (dealer).