Yes time capped. From the moment you get allied tags, you hardly get any reward from until some time has passed. So even if you did some stuff, you only get limited Exp/AN until some time has passed to get more. I think what you can do is just get allied tags then wait a while before attacking mobs and stuff. So like the whole threshold of actions towards EXP/AN goes up over time from the moment you get tags until it hits the overall cap depending on your medals, but I'm not sure exactly how many minutes does the threshold hit the cap from different actions