Well practically speaking, the only time I've carried something on Shabbos in my lifetime was in Venice.
Practically speaking, I assume Chabad still has meseches eruvin in their shas, and don't skip those parts in shulchan aruch harav. You don't disavow the whole concept of eruv, and therefore, I would think Chabad is equally targeted (for lack of a better word) by this comment.
To funny. The gimmicks one comes up with is mind boggling.