Yes, the strap is original Apple. It is a Nike sports strap made from high-performance fluoroelastomer, compatible with the Apple Watch, manufactured and sold by Apple itself.
The strap with a 41 mm bridge width is compatible with the Apple Watch Series 8, which also has a case size of 41 mm. However, the Apple Watch Ultra has a larger case with a 49 mm bridge width, which is why this 41 mm strap does not fit. The strap is specially designed for models with a 41 mm bridge width and is therefore not compatible with the Apple Watch Ultra.