Well, a quick look at the literature shows that snow over no-shrub tundra has the highest albedo, but also melts out much faster come spring. With increased vegetation, from dwarf shrub to low shrub to conifer forests, albedo drops significantly.In April (with snow cover), boreal forests have albedo of around 0.4, tree-shrub-mosaic tundra about 0.5, and other types of tundra between 0.72 and 0.76. Fresh snow has albedo of 0.8-0.9.
On longer timescales, since boreal forests and shrub cover is rapidly moving northwards, one would expect the effects of snow cover on albedo to drop as well.
Nowhere in the literature did I see any mention of asses or horses**t.