I was thinking that she might be Ti-LII instead of LSI. She does veer off into tangents in a way that I've seen some LIIs do and seems to have no problem with all the ambiguity inherent to socionics (as well as her own understanding of it) whereas LSI having C-D thinking style usually require more clarity, precision, more "realness" out of it. The way I've seen people of LSI tim approach socionics is embark on an effort in trying to specify what the IEs really represent and clarify all the definitions, and it takes them a while to compose an understanding of it, whereas Jet seems to be ok with just skipping all of this.
She also seems to catch the attention of IEEs and get on their nerves the most from what I've seen of two debates with her, which might be indicative of LII-IEE supervision.