[2019] Are Accuracy & Stability messed up on the stats page?

I've been struggling with the stat page over the past few weeks. (even prior to the last update). And, I need some help understanding.
First, My assumptions are:
Increasing accuracy narrows/shrinks the cone of bullet spray ensuring that more bullets are closer to the centre of the reticle. (correct?)
Increasing stability reduces the amount that the reticle moves after each bullet is fired. (correct?)
While adding stability will just help the player control the reticle, adding accuracy increases damage. More accuracy increases the number of hits on reticle/target (correct?)

I I've been adding in these stats to try to see what the caps are. Prior to the update sometimes accuracy would even move to negative numbers when I added it with gear (not weapon mods) . This was yesterday:

Removing stability, is also removing accuracy. In addition, adding accuracy with gear also fails to actually add accuracy on the stat page.

Lastly which weapon classes have the best weapon handling? There is a talent that transfers the weapon handling of the hostler weapon to the equipped weapon.