What is the difference between Wagyu and American Wagyu?

Can you elaborate on the distinction between Wagyu beef and American Wagyu beef? Are there any notable differences in terms of taste, texture, or breeding practices? How do these variations affect the overall quality and price of the meat? Is American Wagyu a genuine Wagyu product, or is it a hybrid of sorts? Understanding these nuances would help consumers make more informed decisions when purchasing Wagyu beef.