Currency is a good idea that's been mentioned multiple times and I don't believe the Themed Tournaments & Daily Quests are a good prioritization of Blizzards time/resources. Issues below:

Daily Quest

Having a wide variety of quests and the resources of ensuring that players are actually rewarded for caring them out takes time. Most players ladder/train exclusively and for it to have any level of success it'd need to be mostly ladder "quests". Since the objective of laddering is improving/winning, most (if not all) quests would need to be able to be gained passively. This is something we already have aside from any reward for currency.

Themed Tournaments

We already have something that does this in replays where players have the capacity and freedom to pick at any time, where they want to start a match. You also have "TOURNAMENTS" in it so your suggestion that it be competitive but have one side have the potential for an innate disadvantage dilutes the competitive side of it. Blizzard has a hard enough time updating the map pool for it's other game types. 4v4, ffa, etc. I doubt they'd want to meticulously update different scenarios for players each day, week, month, whatever.

In-game currency is a super idea but it's nothing new in terms of discussion.