Whether by tenths or inches, wider = more on road cornering and braking traction. That's a measurable fact. Whether you believe there's tangible changes to one as a driver is a personal interpretation.
I know from years of modifying and tracking my cars... Absolutely. I've felt every 10mm increase of width on my 911, from 295, 305, to 315mm. Which is why when I went with AT tires on my LX, I specifically sought even wider tires (305/55/20s), because I value on road handling (more than most I'll acknowledge). If there's value that can be appreciated from everyone, there's safety to be had from better on-road traction. The 200-series is no sports car, so its limits are reachable on the road, whether for sporting needs or emergency maneuvers.
That said, I'll offer another great tire out there -
https://www.walmart.com/ip/Falken-W...35517&wl11=online&wl12=54383723&wl13=&veh=sem
Great rain and snow performance with its deepest in category treads.