There is no “One” solution that fits all. Directionally, wider bars WITH a shorter stem is the way to go, as it maintains reach, and hence re-centres your torso. Wider bars bring your torso forwards, a shorter stem pushes it back again.
If you only ride XC, fast, on smooth, level tracks, then 650mm/120 is fine (and good for min aero drag!) But the more you ride harder, steeper terrain, the more a wider set of bars will help.
However, wide bars tend to highlight any lack of fork or wheel stiffness. With wide bars, you may find that although you can hold the bike straighter in rougher terrain, it still wanders around as the fork flexes! This is also one of the reasons modern AM forks have got a LOT stiffer than previous XC forks etc.
The good news, is that it’s much much easier to cut a set of wide bars down, than to extend a set of narrow ones, so don’t be put off buying a set you might eventually find too wide! I’d suggest that for anything over ~740mm width, you want to be on perhaps less than 75mm stem (65 to 50mm seems popular at this width).
if you are swapping to riser bars from flat bars then your position is going to change (your torso will be pushed backwards) so that will also make a significant difference to reach.