There's a great debate raging in Lubavitch these days, and Boruch Hashem, it's not about shidduchim, tuition costs, Meshichism, or shluchim fighting! Truth be told neither Reb Berel Levin nor Reb Eli Landa refers to the other person's manner of atifah as "wrong" or incorrect, so the debate may be the creation of this blog... But controversy is what drives this business, and there ultimately is a debate, even if they don't argue with each other. For good measure, after seeing a "related" video on You Tube, we bring you Rabbi Nissan Dovid Dubov's version, which is basically the same as RSBL. I tried to embed the code from the Levin shiur here as well, but it just wouldn't show. So all we have is a link. You can sense that REL will have a different take on atifah just based on the beginning, where he rolls out the Chabad מיוחד - רש"ב tallis, that the Rebbe wore during Tishrei only. Levin and Dubov use the more standard tallis, and hence the more standard סדר העטיפה. Landa's atifah is difficult to do, but the end result is EXACTLY what an Ishmaeli in the desert would look like. What they all have in common is that atifas haTallis in Chabad is not as easy as in the rest of the Jewish world. The אלטער רבי, בעל התניא והשלחן ערוך, was very specific about atifas haTallis, just as he was with all other aspects of Jewish law and observance. You also learn something from RSBL about keeping the head covered with the tallis at all times; that the only way to be מקיים atifah is by having the head covered. Otherwise it's just a large tallis koton that you're wearing.
Rabbi Shlom Ber Levin's shiur on atifas haTallis (Yiddish)