The J-35 is superior to the F-35 in many ways so it depends on what the nation in question needs out of a plane.
The J-35 is a lot faster and more suited to air-to-air combat unlike the F-35 who's main role is air-to-ground operations. The F-35 is a far longer range but for defensive purposes a country may not need that.
Wow, interesting but also fictional.
Yes, the J-35 is faster. By about 60 mph. That is actually a pretty insignificant speed difference when talking about speeds measured in excess of 800 mph.
And the F-35A has a "far longer range"? Well, in this you are dead wrong. The J-35 has a combat range of 770 miles, the F-35A has a combat range of 760 miles. Once again, an insignificant difference.
But the main role of the F-35 is not close air support. It can conduct both air interdiction missions as well as ground support, the only difference is the loadout. So once again, a nonsensical statement. Especially when you consider the F-35 is not "an aircraft", it is three aircraft. Each one very different than the other two. And the main missions will be determined mostly by who is going to be flying them.
For the F-35A, those will be flown by the Air Force so that would mostly be air-to-air. For the F-35B, that will be flown by the Marines. And mostly those would be air to ground, but also air to air as those would be the primary platform for providing Combat Air Patrols over the amphibious group they are assigned to.
Now the F-35C once again will vary, depending on who is flying. You see, those would be both Marines and Navy. And in most situations, those would be configured for CAP duties. Air to Air, with some of the loadout dedicated for anti-ship requirements. And if there is a need for air to ground, primarily the Marines flying the F-35C on a carrier will assume those duties, allowing the Navy to continue with their more traditional CAP duties. Of course, there is no hard rule about this, that will vary a lot based on local situation.
And operating independently? That makes absolutely no sense.
In fact, almost everything you stated is almost completely nonsensical.
However, there is something else that should absolutely be considered. As of this time, over 1,700 F-35s in the various configurations have been built and delivered to a dozen countries. With 8 additional nations awaiting delivery (at this time the backlog is 2-3 years).
China? They have built 8 of their J-35, and it is still in the testing phase. None have yet to be delivered anywhere for service, even though they have been in testing for 13 years now. And most are not expecting them to actually enter service until much closer to 2030. And that is one thing most who actually watch China and their armaments are more than well aware of. They tend to always have rather significant periods of time between announcing a program, first testing, and actually entering into operational service.
The J-34 started as the F-60/FC-31 back in 2011. And it has had multiple different names during that phase of the program. And the first prototype was shown off at an air show in 2014. That is over a decade ago, and in that decade they have made an additional 7. To give a comparison, the F-35A went from prototype to first deliveries in 6 years. The J-35 will most likely be much closer to 20 years before serial production and delivery.