I've also just acquired an OB, four weeks ago, and it came with Bridgestone Dueler H/P Sport tyres on. I tried to buy another H/P for the spare wheel, but Bridgestone UK confirmed to me that they have now discontinued that model of tyre and that the Turanza was the next nearest! Yet Subarl UK said it, the Turanza, couldn't be used as a full-time tyre mixed with the others, but only used as a temporary spare. I'd hoped to have been able to have a 5 wheel rotation pattern so that all 5 tyres/wheels had a similar level of wear on them, just in case I got an unfixable puncture and then could avoid having to buy 4 new tyres!
I eventually sourced a H/P but after a lot of effort (in the size for the OB 225/60 R18). Had a quick check of the H/T in 225.60 R18 and can't find another one of those either, but just a cursory check so far.
I think both the H/P and H/T are classed as summer tyres, with no snowflake emblem on the side walls, but I'd read somewhere they were also described as "all season" in the US.
As I live in the rural north Pennines, at altitude, I'll be fitting winter tyres come November, as I've always done for the last 20 years of motoring. Never tried all-season/all-weather tyres, but they could work too.