its two sides of the same, weapon handling was poor in Fallout 3, hated how your bullets did not came from the barrel of the gun but somehow from the center of your chest, this was more of an problem in VAT actually as you lined up an row with head shot an all went into the wall in front of you also you can not hit something who is clinging to you with an sniper rifle. So we want this FPS part right.
The RPG part is how your skill matters, not only in VAT but also then shooting FPS style, this was done pretty well in Fallout 3, then you was low level your bullets went everywhere, at least with handguns, at high level you got aim assist, something I hate but makes sense as an master with guns are better at shooting than you.
Yes in Fallout 3 you had guns with no spread, this bypassed the character skill as you could snipe outside of VAT with as good accuracy as the sights allowed.
TES and Fallout are two series, too me the new start looks like how they want them to stand apart where Fallout have an stronger story at the cost of some freedom. However they learn from each game, that worked and did not work in Skyrim who can be transferred to Fallout. You can see a lot of Fallout 3 influence in Skyrim, few of them bad.