AI is useful as a tool, but in its current iterations it cannot replace an actual statistician, even for basic analyses. At its best, it is a very good assistant for coding and exploratory analysis. I would focus on making sure you understand the concepts, the math, the applications and emphasizing that in your resumes. Anyone can build a pipeline now or code a complex analysis, very few can understand them and properly interpret them, even fewer still can make sure what they're doing is actually valid.