On your second point, she has stated repeatedly and explicitly that her position is that she doesn't know what the origin of the virus is, natural origin is not ruled out either, and that all she is asking for is that both theories are credibly investigated, for example here [1]. Of course she talks a lot more about the lab leak, but that's largely because she feels this side has not been discussed sufficiently, which was certainly true until 2/3 months ago.
On your third point, you're right that she truncated the quote, but I think her interpretation is the one many readers would come to: "lab leak=conspiracy theory". The quote is dishonestly structured to start with, lumping together lab leak with 5G/Bill Gates silliness. It's the same mistake that the Andersen paper made lumping lab leak with bioweapon. I wouldn't count that as a win on either side.
[1] https://twitter.com/ayjchan/status/1411049136762327043?s=21