DD5 didn't go through the terrible two stage until she was three. Maybe she was/is actually delayed in that area.

She was much better during the summer months when she was getting a lot of sleep. Now that school has started and all, she's starting to get difficult again but she seems to be more self-aware about the need for emotional regulations and that makes a big difference.

So, yes, it does get better but don't underestimate the power of adequate sleep and exercise for children like your DS2.