You are right, her short game was terrible and has definitely improved noticeably from a couple years ago. She's still a very mediocre putter and very mechanical looking around the greens. Although I think there aren't yet that many large, very athletic LPGA golfers yet and modest putting abilities may not hold a golfer back on the LPGA as they would on the PGA tour.
She competed at top LPGA events at a very early age because she had a powerful, natural flowing dynamic swing and bombed the ball, leaving herself lots of short shots into greens on relatively short courses. I think she and Suzann Petersen have exactly the wrong coach in the sense that they have the ability to have a huge distance advantage through athletic ability and size, and their method teacher's method works against that natural ability. The Lead Swing makes her look like a golf robot, not yet fully programmed, at times (imagine taking a 13 year-old Sam Snead and trying to make him swing like Lead wants). She has definitely, however, benefitted from practice and/or coaching on the short game.
Ultimately, though, I wonder if she has the fortitude and desire to win a lot of events. Personally, I find her tough to root for. I might change my mind if she ditched her media coach, her Nike rep, her swing coach, her life coach, her marketing coach and rediscovered the love for bombing the ball and letting it rip off the tee and actually looked for one entire round like she was enjoying playing golf instead of being tortured when she plays, afraid of making an error. At this point, I'd 10x rather watch Jiyai Shin polish the ball around the course, loving every minute of playing golf.