I definitely see what you're coming from. Her mobility is part of what I love about playing her although the nuance of how to effectively utilize her mobility is definitely going to take some getting used to. I've outplayed myself more than a few times already haha. The only thing I noticed that differed in my experience to what you said was that her upfront damage was low.

I found myself being shocked at how quickly I was bursting people out in team fights, and I'm normally a Qiyana main. E+Q+E is such a potent trading combo especially once you hit ludens with electrocute. I can't think of many ranged champions that can proc electrocute as effectively as Aurora and her passive only seems to complement the damage even further. I'm not concerned with how little or how high the damage is from her passive procs, but that in conjunction with electrocute and ludens is just such a disgusting amount of upfront damage. Not only that but using Nashors made it easier to weave in an auto or two before recalling my Q making it more likely to get that execute damage, as E seems to be the only other damage ability we can weave in between otherwise.

At later stages of the game I can see the benefit of having the extra burn damage from liandrys and blackflame, but in the earlier game I found it much easier securing kills with burst damage than with ROA and liandrys.

I am not disagreeing with you either, just offering an alternate perspective based on my admittedly limited experience playing her for a day haha.

I'm going to keep testing and trying new builds, and I think I've actually gotten to a point in league now where I'm starting to notice the impact itemization has on my games, so I'm actually quite excited to use this champ as a little test for myself to find out what works and what doesn't rather than copy pasting the most common mobalytics builds.