Yes. It also isn't the "second" sha-1 collision, by any means -- you could already trivially use the prefix and colliding blocks from the shattered example and append any suffix you want to generate more collisions: https://news.ycombinator.com/item?id=13723892
A true second collision wouldn't start with the same 320 bytes. A more interesting one might use fewer bits to achieve the collision.
Once the two sha1 states are synchronized, after the first 320 bytes, they will remain in sync as long as you extend them with the same data. (BTW This is why hmac exists, to prevent extension attacks.)
A true second collision wouldn't start with the same 320 bytes. A more interesting one might use fewer bits to achieve the collision.