Did you notice that the solve 10 spire quests come on days with no spire too?Who had the dumb idea to have a quest to solve 10 tournament encounters on a day when there is no tournament ? Do the devs actually think about anything they do ?
I'm pretty sure it's not an accident. Like @cwgiii suggested, it's likely on purpose.
To be fair, if it was a tournament quest during the tournament, how hard would it be? Might as well just give me the keys for logging in.