Short answer YES!
I recently purchased a new FS M&P 2.0 in .40 and purchased the Storm Lake .357 Sig barrel. It dropped right in, no binding, tightness, sloppiness, reliable and accurate.
I also did the same research a couple weeks ago and was pleasantly pleased with the results. My research indicated that the barrels (1.0 and 2.0) are exactly the same.