Does tabooing "values" bring any new insights to this discussion?

Probably not, but it lifts the illusion of understanding, which tabooing is all about. It's good practice to avoid unnecessary imprecision or harmless equivocation.

(Also, I'd include all the heuristics into "conscious self", not just some of them. They all have a hand in forming conscious decisions, and inability to know or precisely alter the workings of particular heuristics similarly applies to all of them. At least, the same criteria that exclude some of the heuristics from your conscious self should allow including external tools in it.)