Flight III is listed as primarily SPY-6 with upgraded cooling and electrical generation equipment, and AEGIS Baseline 10 software. The cooling and electrical generation equipment (and thus also SPY-6) supposedly will not fully fit on a Flight IIA, necessitating the Flight III hull changes to begin with. That leaves the software... As I have not found Baseline 10 listed on Flight IIAs, that means they likely only got upgrades to their Baseline 9 systems.
Flight III will also include software--and hardware--changes called TI 16. These are open interfaces which allow easier future upgrading. To the extent that hardware (computers) are involved along with the software, perhaps this might be one element from Flight III included in the Technology Insertion program for the Flight IIAs. (And I am aware that Technology Insertion and Technology Integration are 2 different terms. It just seems like Technology Integration would be a logical thing to include in Technology Insertion.)
From this article here:
This quote here:
"Some of the newer technical characteristics of the SPY-6 include integrated hardware and software engineered with common interfaces. The new components, called TI 16 for “Technical Integration” enable the Aegis radar to add next-generation weapons such as electronic warfare (EW) applications or lasers as they become available."