I use a short-ish kryptonite U-lock through my wheel spokes, or I use my bicycle's Kryptonite chain lock (there was a Warehouse Deal on this one) which just barely fits around the tire and through the rim, it is similar to the one you are looking at. The chain is more visible, which probably helps deter thieves a bit.
At home, I have a longer hex chain around a post, and use the u-lock to connect it to my scooter. I already had the Kryptonite chain and the u-lock, so I didn't need a long chain with an included lock, just one with a ring on one end to loop it around the post. An idea to consider if you have a lock handy already.
One thing to consider is getting a lock from a known brand that offers key replacements, especially if you are like me and lose things often enough. And while that Chinese lock may have a great chain, the lock is probably not so good or strong.
I have had to resort to using A big assed chain from the wheel to a post, another big-assed but shorter bicycle chain or ulock through the spokes of the other wheel, and an alarm system - not terribly costly and on my Chinese scooter it is is plug-n-play. And a cover just to add an extra step for a thief to take.
Have had two stolen, one twice lol. Both from my parking lot only a few steps from my door. And both from a lapse in even minimally securing them.
It is pretty easy to pop the steering lock on many scooters just with a sharp jerk, yours could have been wheeled off by a single person just as much as by a crew of thieves.
Something that goes through the spokes, on on or both wheels, is a good idea to prevent someone from simply rolling the scooter away after popping the steering lock. I use a good bicycle u-lock, or a super heavy bicycle chain, through the wheels. I make sure that anything I use is kinda visible, as a deterrent. A cover can also act as a deterrent as well.
u-lock (anything similar that fits: https://www.amazon.com/gp/product/B0081UDF58/ref=ppx\_yo\_dt\_b\_search\_asin\_title?ie=UTF8&psc=1
short chain: https://www.amazon.com/gp/product/B006QN0MIU/ref=ppx\_yo\_dt\_b\_search\_asin\_title?ie=UTF8&psc=1
chain2 (long, for fence posts, used with u-lock) https://www.amazon.com/gp/product/B000W0RQY6/ref=ppx\_yo\_dt\_b\_search\_asin\_title?ie=UTF8&psc=1