Again, if you think F-16 is going to get downed in a dogfight you're simply showing how naive you are
1. F-16s would force the Russian CAPs to fire their missiles, especially the Axeheads from even further distance.
Even now the MiGs and Su simply fire Axeheads from way within the border and break away...but it simply makes the missile less effective because of the distance and presence of so many ground based radar. But now the Russians pilots would start to have paranoia about F-16s and AMRAAMs resulting in them firing from the max range of 400km; further diminishing the performance. (If this sounds weird then remember what happened during Pakistani raid on our side, they're sacred of SAM so much that they dropped bombs from as far as possible resulting in poor accuracy)
2. F-16s would seriously mess up the Russian air defence network.
Even now the condition of Russian ADN is not what they've been boasting about since ages; Putin admitting shortcomings, Storm Shadows flying unchallenged, SAMs getting targeted. And all this is happening without a single Wild Weasels taking place from Ukrainian side. With simply dialing in frequencies in HARM before flight they are able to counter the most advanced AD system...imagine what would happen when proper SEAD and DEAD starts to take place.
In cold war the upper hand in SAM technology was with Russia. So to counter this USAF invested heavily in SEAD and DEAD capabilities. A single pair of F-16 with HARMs, EW pod and MALDs can wreck havoc on ADs.
3. This brings to the third point. Russians would respond to this by either switching their radars off or moving ADs further inside the border. This would deprive other HVTs of proper air cover. JDAMs, JSOWs, SDBs and GBUs all will start slowly chipping away important assets.
The whole front line would be in a dilemma; if the move in things like Buks - Pantsir to protect the frontline they'd get engaged in Wild Weasels and if move back then to have AD assets for long run they'd lose HVTs to PGMs.
4. The Black Sea fleet would be start to move back. This would happen even before any attack just by the psychological effect of F-16s armed with Harpoons and drones providing decoys. They've seen what happened to Moskva with such limited resources...now they can project force in much more refined way.
See I gave you four points on how F-16s would affect and none of them included the word "dogfight".
(PS : Lijiye
@SwordOfDarkness , aapke liye DRDO waala LoneWarrior)