does that bonus also count for shields or only armor? (would be kinda difficult - fighters having a hard time getting shields down, bombrs not being effective vs. armor... so where to go=?

)
LRMs, scouts and siege frigs don't have much shielding, so fighters will still eat them.
In essence -
Fighters: Fighter/bombers, scouts, siege frigates and LRMs (and their vasari and advent equivalents, I guess). They really rip them apart, it's frightening.
Bombers: Everything else
Eh... LRMs are TEC only? Their Vasari 'equivalent', the Assailant, fits the description of 'Long-Range Missileer' better than the TEC Javelis. The Advent has the Illuminator, but calling it an LRM would be a misnomer since it uses beam weapons.
There's a perfect synergy between long-range strike forces. See,
Fighters kill bombers.
Fighters kill LRMs.
Fighters kill fighters.
But Fighters have to operate from hangars and carriers.
Bombers kill hangars.
Bombers kill carriers.
LRMs kill hangars.
LRMs kill carriers.
Factor in flak and...
Flak kills Fighters. Fighters are rebuilt.
Flak kills Bombers. Bombers also get rebuilt.
LRM kills Flak.(no bonuses to damage, but invulnerability vs. short-ranged flak guns)
Rock - paper - scissors with a twist. Although Carriers and LRMs can kill cap ships and cruisers without too much trouble, cheap frigate-spams or flak-spams are things that long-range weapons will get stumped by regardless of numbers.