I think people have the wrong idea about her Q, which is understandable because she is very new. She is actually so new that people still really haven't figured out the best way to counter her in the way that most people actually are playing her currently. You are right that she limits herself. So far in a lot of the gameplay I have seen of her, people are constantly working new ground in order to try and get off as much damage as possible, practically filling up the lane with worked ground. When people start to figure out that she practically zoning herself off of that space they will start to pressure her onto worked ground or out of lane because at best she can do minimal damage. Basically, the more worked ground you have, the less of a threat she becomes.
If instead people would use very few patches of worked ground to deal less damage in order to farm and poke, you will have a much better time with mana sustain early on, and you can maintain your lane presence because you can easily move to new ground in order to deal greater damage.
As for her other abilities. They aren't as good for damage, but they are not really all that bad either. For the most part I look at her traps as assassin counters. Most assassins have gap closers and this ability will prevent them from feeling as safe to use those to engage on her. Her knock-up/displacement ability is good to counter engages and escapes. They don't really need to deal as much damage because they provide more situational utility.
Ultimately, I think she looks like she will be a lot of fun. I just don't think people know her well enough yet.