Referring to Synlube, not Amsoil.
Request that before they do anything, they drain the oil into a container for you. Request a refund for the oil and a printout of the findings on your car. You need a detailed report from the dealer stating that such and such components were comprimised and it was due to the oil.
Either he will pair for the repair or you have a claim to take him to court to receive the money due for the repairs as he has a "warranty".
The reason Synlube isn't well liked here is more so the heretic behavior of the users/followers of the product. This can be seen first hand on the NAIOA forums. Secondly Miro will not, ever ever ever give you a sample bottle to run a VOA. He wants you to pay for it. Thats a huge amount of money for 1 bottle, and he won't sell it as 1 bottle from what i've found on forums around the net. If he suspects what your going to use it for, he prohibits the sale. Its either all or nothing(buy a full oil change from him or natta).
I would think he would want his product to be marketed better and provide at least a few samples initially to have results from well known websites/media representatives.
Lastly, Miro can be a ........, this is evident on the NAIOA forums.