I can't tell the differnce in recoil of the 270 WSM with a 130 at 3100 and a 7 Mag with the 140's at 3250, but the 7mm 140 Noslers have a much better BC than the 130g 270. At most practical hunting distances, BC is worthless to talk about.
With the 7 Mag, you have the option of shooting the 120g Barnes at 3600 fps with extreme accuracy, up through the 150g at 3150 with extreme accuracy.
The Short Mag brass can a real [beeep] to deal with(especially the Nickel plated brass), unlike the 7 mag brass.
I suspect that the 270 WSM loaded with the Barnes 110g Tripple shock X bullet would be heck on wheels on any deer walking.
Both cartridges are very close, ballistically speaking, with the edge going to the 7 mag due to better BC. I can't tell the difference in the recoil between the two guns. It could be that the shorter cartridge fools the brain into thinking that it kicks less.