Chirizo is a spicy sausage. I should also note, I have not found a restaurant (even the ones run by Mexicans) which has prepared it properly.
The native Mexicans are in business and realize most Americans would not be able to stomach real Mexican food so they Americanize it. It's a good call on thier part actually.
The Americanized Chirizo is not very greasy, and is pretty mild.
Real Chirizo will almost melt when it is cooked. It is chocked with grease and sauces. We use to run into Mexico, when I was growing up, to get homemade Chirizo from a farmer. It is also where I learned to prepare it.
NUKE, Mexico has very little palatable beef product. Only the very rich have any beef to eat. The by-products are what the typical Mexican gets. Along the coast, fish is plentiful. In the interior, not so much, as most of the fish is sold for export.
I am not digging at you NUKE, but there are difference in *Mexican* food, even in Mexico.