So, just looking at the laws, there is a progression of questions.
1. Was it a handling offense. As noted, for defensive players, the laws still require "deliberate" but now there's a bunch of guidance about where the arm is that makes it sound as though deliberate doesn't really mean what we think deliberate means.
2. If it was a handball offense, then a player "must" be cautioned if it stops a promising attack.
3. If it was a handball offense, then a player "must" be sent off if it was a denial of an obvious goal scoring opportunity.
4. Whether or not it was a caution or a sending off, if it was in the box, it's a penalty.
Interestingly, fouls that stop a "promising" attack are also a yellow card, but the laws allow the yellow not to be given if the foul occurred in the penalty area and thus a penalty is awarded. There is no corresponding rule for handling in the box. If you handle and it stops a promising attack, it's a yellow. If you handle and it denies an obvious goal scoring opportunity, then it's a sending off. If either happens in the box, it's also a penalty, and the card is still shown.
So, I think the answer to the Moussa hand ball must be that the ref decided it was not a promising attack, which I think is a bad call. It was a promising attack. I think the ref just chose to use some discretion because the handling was harsh. I guess that was the basis for not showing Kimpebe a card either even though that seemed like a promising attack.
Anyway, I think I should probably amend what I said before, which I think now that we've all hashed it out was wrong. The fact that handling offenses by the defense is "deliberate" by definition under the laws (under the now admittedly stranger view of "deliberate") does not necessarily lead to the conclusion that it should usually be a caution. The caution or sending off decision is, indeed, separate and it turns on whether it interrupted a promising attack or goal scoring chance.
A true "intentional" hand ball is always going to be (or almost always going to be) in the service of stopping a promising chance. So it should usually be a yellow. But the new variety of non-intentional but "deliberate" handballs are not necessarily going to be denials of promising attacks. I would think usually they would be, but they need not be.
So, very long way of saying that: (1) the ball-to-hand-in-unnatural-position handling is still regarded as "deliberate," but (2) the question whether to show a yellow turns on how promising the attack was.
Or even more tl/dr that masks that I was just wrong: yes, there will be plenty of handballs, even in the box, that need not be given cautions.