Hopefully...
...the places marked "interior reconfiguration" indicate that they'll straighten out the hairpin turns in the corridors to the extent the building allows. As it is, the route from security to get down the concourse on either side is quite circuitous, but that's expected considering how they've grafted the new checkpoint onto the old concourses.
It's taken years of work, but bit by bit C's slowly getting there, all while largely staying 100% open (aside from the period where they redid the ex-UA section).
Everything we've seen indicates the C-main to C-40's airside connector is planned, as it would seem to be a necessary first step towards a B to C connector.