My personal understanding is closer to
@Anomaly 's, though a little different. For me, cultivating hatred is an active choice, but the feeling of hatred is not.
There were times in my youth, I held great hatred for others. I didn't wish to hold it and desired to be free of it, but it persisted. This, to me, wasn't a choice to feel - but I could've nurtured it and hatred does often desire to be nurtured.
I didn't use my hatred to harm others, because it felt a poor justification for it. Over time, it faded.
The times where I have harmed others wasn't hatred but fury - a sudden overwhelming rush that dulls senses to a pinpoint of intent, but doesn't have the 'coldness' or lasting that hatred has.
To me, I see aversion as disliking something; it's less energy-intensive to avoid something. It isn't invasive. It's not intense. It's low-priority.
Hatred can be avoidant too, but often is something which pushes me to interfere with another; to eradicate them, dismantle their works, observe their suffering, and make myself antithetical to their being. For me it's an intensely malevolent 'possession' that makes me feel sick and poisoned; it isn't enjoyable and that makes it easier for me to let it wither. A felt
wrongness about it is powerfully motivating to let it go.
[
though these are relics of my past, it's understandable if you feel unsettled by them. I've never been perfect]