the horizon project was cancelled. i don't know why. the fremm is the successor (with the anti-air version for the french only). i don't know what the italians have for AA umbrella though, since they only have 2 horizons.
ASTER doesn't work. No sense pouring money down a rathole. The French are quite good at ASW systems. Hence their reorientation.
The Italians will buy American AAW SAMs and systems and use their own good ASW in their own builds.
Politics.