About TVC being "terrible", it's called an instantaneous turn. The difference between ITs and STs is that sustained turns can be held indefinitely, because the aircraft's thrust is counteracting the force of drag. ITs of any kind will start to bleed off energy as the aircraft's drag increases. TVC's issue is that it sacrifices thrust to achieve vectoring (thrust is vectored in the turn direction), but canard deflection to achieve TVC also increases drag as well, especially in high AOA regimes. However, that doesn't make instantaneous turns useless to pilots. The ability to rapidly point your nose at an opponent or change your direction in a WVR battle is useful, even if that results in energy bleed and the loss of speed. It's all about trade-offs.
The mistake the pilot is explaining in the video is that beginning pilots rely too heavily on instantaneous turn rate, not acknowledging that the energy loss from IT makes doing so dangerous. It is understandable, because while F-16s and F-15s, the aircraft they're coming from, have adequate instantaneous turn rates, they don't have the same high-AOA performance as Eurocanards so they're not experienced with how dangerous relying on your ITR can be.
As to whether TVC decreases stealth, you're joking, right? TVC has the potential to break traveling waves, true, but it breaks them at the rear end of the aircraft, which is better than breaking traveling waves at the front end of the aircraft, as some of the radar energy will be absorbed by the aircraft and its RAM on its return.
The drag argument is also absurdly specious. Compare the nozzles on the Su-30MKK and the Su-30MKI. One has TVC, the other doesn't. The nozzle sizes are almost exactly the same, meaning there's little difference in drag. Compare canards in the front, where you have large aerodynamic surfaces not only generating additional drag, but generating drag in a bubble ahead of the main wing, whereas LEVCONs and LERXes generate drag in a bubble connected to the main wing.
Also, you're joking, right? I'm not a Russian fanboy, I'm much closer to an American fanboy because the American R&D complex is, as everyone acknowledges, ahead of most of the world, and the US military industrial complex has done a reasonably good job at innovating ahead of all other sectors due to, in part, its superior funding. However, with Lockheed Martin screwing the pooch with the F-35, and with the rapid development of the Chinese aerospace sector, it's viable now for China to briefly come ahead of the United States with J-20 derivatives; we know that in many aerospace technologies, China is only 1-3 years behind the United States.
The "not-invented here" syndrome I am referring to is yours. The J-20 wasn't designed for TVC, so you go on to bash TVC, even though the US air superiority fighter uses it, and the US strike fighter without it is admitted to be an ACM turkey because it doesn't have TVC. The J-31 is expected to use TVC, and the PAK-FA is designed to exploit TVC in novel ways that the Americans hadn't yet thought of.
Thankfully for you, the PLAAF general staff doesn't share your myopia. The TVC technology is mature, and we can almost definitely expect to see the J-20 at least trying TVC technology. As I've said before, the Chengdu is in the unique position where it can combine mature TVC technology and canard technology on its latest fighter for exceptional maneuverability. By doing so, it stands a shot at having the premier air superiority fighter.