Touching again on the vanishing campaign ops, just now, I checked on my tag and i still had all the missions available I had yesterday (granite rose, pit spider, slaughter house, everything). I take the warp NPC and go to a suddently ending campaign, and then go to vunkerl inlet and participate in a campaign there (nothing too impressive. Bakgodek kills everyone, I get 500 EXP and 250 AN).
I get back to the tag desk, and they're all gone except for the material gathering, teaching synth items and the first escort.
That's fine and shitty.
however.
I wait around, refreshing the campaign map every few minutes and hop on the warp NPC the second it shows batallia is under attack. I get there, do 2k+ damage with a few blue mage spells and turn in my tags for 240 exp and 248 allied notes (?). I warp back to san d'oria and what would you know, all my campaign ops are back in full though I didn't get any new ones.
So, campaign ops are apparently directly related with the campaign battles going on. Exactly how, it's hard to tell from just the two experiences I've had. Could be anything from not doing shitty in one, to having the outcome of the last one you participated in be a success. At the very least I hope this sheds a small bit of light on the whole thing.
minor edit: Did Iron Anvil I. Got Fisherman's gloves and Vagabond's gloves. 140 exp 580 allied notes.