Cannot speak to what is most popular but, all my hunting friends in Sweden that use 6,5X55 and are not reloaders, use Norma 156 grain Oryx factory loads.
Jaktsortiment | Norma Precision
Their 6,5X55 Mauser rifles kill a few moose each fall. They hunt in typical Swedish forests, where shots are seldom further than 100 meters. Hunting method is typically with part of hunt club members on stands and other part driving the moose toward the stands. This is very organized and controlled hunting. Most moose shot are calves, to cull the local herd.
Niklas