An old saying is, "You can lead a horse to water but you can't make him drink."
ALL Watch bands attach to the watch the same way. There is no other way to attach a watchband to an Watch. The watchband in your image is the exact watchband that I have. There is no other Milanese Loop from Apple.
I have added arrows to your image. The red ones point to the buttons to press in to slide the watchband ends out of the watch. You usually need to use your fingernail to press them.
The blue arrows point to the end of the watchband that slide into and out of the channels on each end of the watch.
