My 2013 XC60 R-design came with 20" rims and 255/45 Pirelli Scorpion Zero Asimmetrico tires. While the Pirellis are more performance oriented, they are all season rated.
I don't think the 2015/2016 XC60 with 20" rims would be any different.
I cannot recall what specific brand that that Titania "sport" rims come with but I am pretty sure they are "all-season". I know a lot of people in my area do not drive on the 20's during winter. They swap them for 17" winter tire/rim.
A lot of times the "sport" rims come with a "performance all-season" which is meant for wet/dry not cold/ice/snow.