I think that using the word “valuing” adds back in confusion that this trichotomy is trying to remove. Wanting is the axis of urgency to act or not act, liking is the axis of feeling enjoyment or suffering, and approving is the axis of feeling morally elevated or disgusted. These are independent axes that can exist simultaneously regardless of time, and which are only made more vague by lumping them together as “valuing”.
(Notably, one’s experience can be placed simultaneously on all three axes: it is not necessary for these experiences to be separated in time. You can approve or disapprove beforehand and during, not just after. You can want while doing, as well as beforehand.)
It seems like the trichotomy is complete: wanting/liking/approving is valuing something before/while/after it happens.
I think that using the word “valuing” adds back in confusion that this trichotomy is trying to remove. Wanting is the axis of urgency to act or not act, liking is the axis of feeling enjoyment or suffering, and approving is the axis of feeling morally elevated or disgusted. These are independent axes that can exist simultaneously regardless of time, and which are only made more vague by lumping them together as “valuing”.
(Notably, one’s experience can be placed simultaneously on all three axes: it is not necessary for these experiences to be separated in time. You can approve or disapprove beforehand and during, not just after. You can want while doing, as well as beforehand.)