I don't think anyone ever said she was a nazi sympathiser 
The first audio makes it very clear what the Libs issue was with the tweet , equating trans people with paedophiles because it is reminiscent of an old homophobic trope and was likely to cause lots of concerns/disapproval in voters.
Here's the transcript of the audio:
J Pesutto No, no, no, I'm saying, that's to the world at large. So, the entire LGBTI Community will see that, and they – they will interpret that to mean, that if you're same sex
Attracted, if you are bi, if you are, whatever else you might be, you are paedo filth. And that –
M Deeming – I think she’s talking about –
J Pesutto – is untenable.
M Bach Clearly, Moira, it does mean –
J Pesutto – That’s what she’s saying. So, they all think that now me, the leadership team, you, the party, hates the LGBTI community – that's how it's going to be interpreted, whether any of us like it or not.
M Bach That’s what it says.
J Pesutto That's what it’s saying.
M Deeming Yeah, I see what you're saying. I know her, I don't think that's what she was saying at all. [24.30] Like, I’m just saying because I know her, I wouldn’t have interpreted it like that. She's very pro LGB and T so long as the laws aren’t – anyway.
J Pesutto I guess we’ve got to –
M Deeming – No, no, no, I see that from your point of view, because you don’t know her, I just genuinely didn’t understand who you thought she was talking about. I think she’s, like in her head like talking to fascist, or trans – you know, trans rights advocates over there.
G Crozier But there is – you’re in the video with these people who are saying this to the broader community. This is very serious, and that's what John is trying to say here. Your interpretation is one thing because you know her, but that's not a whole range of people’s interpretation. It's very obvious what she was saying, you can't get away from it, you just can’t.
Nowhere are they talking about Angie Jones being a nazi sympathiser. That's why the case confuses me, because it seems to hinge on something they never said.