Yes

When your enemy draws a Plot Card with a Conscripts action, you add all of the strength shown in the conscripted units' shield icons, including uncovered Dragon Glass or Valyrian Steel spaces. If multiple White Walkers are conscripted, you add the enter strength of each adjacent White Walker the entire strength of each adjacent White Walker (not just +1), For example, if no Valyrian Steel spaces are covered and 2 White Walkers are conscripted, this adds +12 strength to the battle. However, you don't add the strength from the special Night King's conscripts action shown on his mat, when the Night King is not in the battle domain himself (when he is conscripted).