In this paper, we follow up on our previous detection of nuclear ionized outflows in the most massive (log(M*/M☉)≥10.9) z∼1-3 star-forming galaxies (SFGs) by increasing the sample size by a factor of six (to 44 galaxies above log(M*/M☉)≥10.9) from a combination of the SINS/zC-SINF, LUCI, GNIRS, and KMOS3D spectroscopic surveys. For the analysis in this paper, we included a total of 110 SFGs at z∼1-3 with near-IR integral field or slit ...