I can only say that the paper was written as I said, and what did the Russians say, I don't knowThat's incorrect. The chief of NIIP himself said search range is 350Km and narrow beam range is more than 400Km in an interview.
Narrow field of view mode requires AWACS to be the general direction of the targetIt's situational. Fighters can detect and track targets on their own. AWACS provide extra capability. Naturally, AWACS are decision makers so the situation is different.
I remember a Russian demonstration of the N035 radar, which established stable tracking within 100KMEven with a look-down range at 180Km, look-up range will be 300Km.
And your search range could be what we call "tracking" range. Then that's fine too, although this could be at lower power settings, which is normal too.