all T4 international non-pre-cleared flights use Bradley for baggage claim & customs.
the former T4 immigrations area has been converted to a bay with electronic immigrations terminals which produce a receipt - take the receipt and walk to Bradley for expedited immigrations by handing receipt to agent, then normal baggage claim at Bradley, normal customs at Bradley.
with Global Entry, I always skip the T4 immigrations bay and head directly to Bradley immigrations to use the Global Entry terminals there.