Put another way, Chinese aircraft typically operate either over their own territory, or over the ocean. When F-4s were embarrassed by Vietnamese MiG-21s, that occurred when fighters were sortied from enemy territory while the aircraft were deep within enemy airspace.
As to medium and long range, the omission is important; otherwise, the J-20 would have simply said air superiority or "at all ranges".
I mean, if we can't stop this dumb conversation, here's a point about the F-16.
The F-16 is on par with most aircraft, but is clearly outmatched by the F-22 and is on par or loses to the Typhoon at certain flight regimes. If the J-20's STR is compared to the F-16, it implies that the J-20's STR is competitive with all 4th generation fighters, but probably only outmatches the F-35 in dogfights when it comes to 5th gens. Another look at F-16 EM diagrams show that at 5000 ft, its peak sustained turn rate is only 19 degrees per second, which is terrible when compared to the F-22's 28 degrees per second. Likewise, if you look at sea level graphs the F-16 only reaches 22.5 degrees at sea level.