Flak Frigates are STRONGLY countered by the tier 1 assault frigates, so any serious carrier based armada needs to have a good number of these.
The problem with this strategy is that Cobalts, Disciples, and Skirmishers die in prodigious numbers to LRM type ships and heavy cruisers. As things stand now, a fleet of LRM + flak will destroy a fleet of carriers + light frigates.
If you're going to use this strat, wait until you can field heavy cruisers in place of light frigates; they are much more resistant to LRM spam and impervious interceptor strikes and can tear through light frigates and flak frigates alike like tissue paper.
But herein lies the issue. Heavy cruisers are about as effective as carriers fielding bombers. Given the amount of micro involved in managing a carrier fleet, it seems to me to be wiser to just field the horde of heavy cruisers and use flak + interceptors from you capital ships to cover them against bombers.
Also, the HC + flak fleet has a significant advantage against a HC / light frigate + carrier fleet in terms of sheer hit points, armor, and shielding. Carriers fielding bombers are easily taken down if something can range on them. Heavy cruisers aren't easily taken down under any circumstances, unless of course your opponent has never played the game before.