I tried the flagship Paragon for AI (with lances and plasma), and it has trouble when overwhelmed, unlike the loadout with two plasma, tons of capacitors and hullmod, and little else (similar to plasma Odyssey). The time I tried five flagship Paragons, a single Ordos slaughtered at least two ships because AI Paragons got flux capped then died almost as quickly as Onslaught/Conquest. Four lances do not work - AI caps in two bursts. Two plasma and two lances work fine if not overwhelmed, but if it caps, it is in trouble. I tried autopulse/pulse lasers. It too flux capped and died.
@ Plantissue: The soloing was done during the releases that had hull regeneration, from 0.5.4 to 0.7.2. Of course, gameplay was different, and skills were much stronger. If I had a combat-skilled character with old-fashioned hull regeneration, I probably would try to play like I did during those old releases.
As for Paragon, I just tried Sinigr's stripped loadout with empty heavy mounts and saw what it can do. Before, all of my AI loadouts were similar to two lance/two plasma. (All four heavy mounts used.) The main difference is low or no capacitors due to campaign hullmods. If Remnants focus-fired on a Paragon with flagship loadout, what happens is Paragon fires, flux gets high fast (either from weapon fire, or taking too many hits on shield), then takes damage because hard flux is high. With the stripped loadout (two heavy weapons instead of four, and monster flux stats), it takes significantly longer to get flux capped, and sustained plasma cannon crossfire from two or three Paragons will wear down anything fast.
For AI, it seems Paragon should be treated like plasma Odyssey or carrier, which is few guns, and most OP into flux and hullmods.