There are Three Stats that are important for VATS Gunplay,
Perception, Agility, and Luck.
Melee its
Strength rather than Perception.
Thing is that Mods, Mods matter a "Lot"
You can heavily modify not only your Weapon but also your armor and armor Arms/Legs parts.
The Armor can modify how good you are in VATS as well as numerous other types of gameplay elements that might not seem obvious to you. For instance you can gain accuracy in VATS by modifying your Arms slot for it or pick a different mod for more AP in VATS. There are many choices and the mechanics are deeper than they first appear.
Modification system matters more than you might think about how your character can perform in combat.
Some modifications make aimed harder than hip fire and perhaps VATS...So be aware of how your gun is built and what mods are on your armor.