I think of Druid as Control because she's so dependent on Treebond, so she often defaults to a defensive stance to try to recover her initial investment. Barkskin, too, is a potent defensive tool. Combined with uproot costs, Druid is pretty heavily penalized for attempting to chase down the opponent without building some economy first. Of course, Aviary plays Lair, so it's not like Druid can't play agro. It's just working against some of her natural strengths.
Regarding time: I'm not the fastest player, especially after 5 games, so I can't really play Druid at a competitive level in a timed setting. But I've got no trouble playing a single match within 70 min, if that's what's called for.