PhD admission committees are made up of people, and people are notorious for having individual opinions that vary greatly from one person to the next. So: some people may care; others won’t care; and some people will care, but in the opposite direction from what you think. (For example, if I were to read your SOP and got a sense that you want a PhD because you have a passion for changing the world through groundbreaking industry applications of statistics, I would regard that as a wonderful motivation to have, and one that is much better than the generic “I’ve always dreamed of becoming a professor” line I see in every other grad school application I look at. Disclaimer: I’m in pure math, not statistics.)
For that reason, personally I feel it’s a fool’s errand to try to game the admissions system by trying to guess what the admissions committee “really” wants to hear and then give it to them.
Of course, I am confident that now that I have publicly posted this bit of wisdom, grad school applicants everywhere will stop these silly guessing games and just write the honest truth about who they are and why they want to do a PhD.
Anyway, best of luck with your applications, and my apologies for this non-answer.