KM26 and I figured that whether you do
胴拭き (the turning of the 茶器 to purify its body) depends on whether the 茶器 came onto the stage in a
仕覆 or not. The 大津袋 allows you to use an item without
仕覆 for
濃茶, but then it doesn't get purified as much. (The
仕覆 really acts as a “beatifying agent” here.) The 四方捌, however, is something reserved for
濃茶.