Alright, that's a good idea... However, I'm pretty poor at tabloid representation, I think..
She probably has shifted a lot between her early days as a pro-active capsuleer trying to fit in every faction she came in, taking model, and rapidly growing as a CONCORD enforcer, albeit in her own way. I suppose fans could have seen her as an alternative to the rigid and corrupted form CONCORD could at times wear, while anti-fans would have seen her just like them as a puppet. It has also to be taken in the pre-TEA context when we were still in the aftermath of Doriam and Heideran, and that what she did was a lot more expected than today (meaning, building bridges between opponents, and routing out unlawfulness).
Now though, I would expect that her fanbase to have shrunk a lot. She is mostly inactive in space bare a few minimum things, and her delusions on capsuleer duties, while probably fitting with a lot of baseliners, also combine with a perpetual indecisiveness always prey to doubt and too much objectivity for the sake of objectivity. Since most fanbases are driven by emotion, I don't see her attracting a lot of people, even less than in the past when she was mostly quiet in her shadows. For those she does though, she might be a quiet figure in a lot of scholarly places as well as posthumans that don't hold traditional faction in very high esteem.
But mostly, I would expect that her loss of capsuleer fame (if she had any in the first place, but at least she was active) means that she is not very much considered by fans unless it's in more embarrassing fictions and kinks, especially since she might draw the dandere
trope around (because of Shrinking Violet
I would expect her to mostly draw ire from most of the imperial masses in the Empire, while probably having a certain attraction in unconventional educated circles, and especially scientific venues where traditional beliefs are probably often eschewed in favor of something different.
I suppose that most of her interventions since TEA have probably also made her a target for the average caldari masses, but maybe that her good relationship with I-RED actually bears different results in liberal circles.
For the gallente, she probably have a lot more fans since she spent half her upbringing here. Probably in two different ways: the few fans that love cultural exchange, especially when it's exotic, and the embarrassing ones that love exotic for exotic sake.
As for the minmatar, they probably hate her for most of them due to her being Ammatar by birth, for that not many of them probably know of her admiration for Midular.
I think Luna probably has many fans in the Amarr Empire and is probably the role model of all the young amarrian ladies and children. "I want to be like Lunarisse Daphiti when i'm a grown up!"
She might also have inspired a lot of cheesy romance / cloaks and daggers / political B-series, especially in the Federation, about amarrian Holder politics. As well as probably having been shipped with Aldrith Shutaq, the other Amarrian role model Aldrith Shutaq, especially now that he has been made Holder by Aritcio.