I just had an idea for how to reconcile the life tab as a defunct system with the desire to keep it lowkey as a reminder of a mortal life's gradual diminution as an area of focus for Protag.
What if, when you come across your family's hut, you added a dialogue along the lines of "Everyone you loved has gone up the stairway [however the euphemism was in Act I]; there is nothing left for you holding you to a mortal Life". And then the tab vanishes.
To me, this solves the additional problem of making the moment more impactful for both audience and Protag as well as foreshadowing what the rest of Act III is going to be like (from what I can tell of it so far in the UR).
Like many elegant solutions, it would also dissolve an obsolete system / mechanic. As you begin to wind up your lovely game, consider Antoine de Saint-Exupery: "Perfection is achieved, not when there is nothing more to add, but when there is nothing left to take away."