It's like this:
For every class (minus black mage), you have a finite amount of resources to face punch your target with.
Due to having finite resources, you do not want to be focusing on a lot of small little hits (or in black mage, a lot of big hits).
On top of that, due to Det no longer affecting auto-attacks and crit chance increasing both crit chance and crit damage (despite being 3.7x (roughly) less effective), crit on every job (except blm) is your massive winner. Even on blm, you gear ss>crit>det.
Now, because of this, you see Det values on gear approaching 1-1 with SS and Crit, reflecting change in Det's value.
So what does this mean?
In general, you will always want crit>det>ss unless you're a whm/Ast (det>pie/ss/crit for healing) or a blm (ss>crit>det).
Dark Knight TP issues are not so much a thing (at least A1S A2S and to an extent A3S), so we can safely ignore that discussion.
So crit >det/ss.