Is holly pruned around the solstice?

No. Holly is a common evergreen tree, which is not directly related to the solar terms from winter to solstice. Winter solstice is one of the 24 solar terms, and it is the shortest day and the longest night in a year. The solstice in winter is not the time to cut down trees. Cutting down trees is related to seasons and growing environment, and has nothing to do with specific solar terms. Therefore, holly will not cut down trees around the winter solstice.