the Divrei Chaim's practice of preparing the menorah before havdalah

In the Mishnas Sachir on the Moadim, Rav Teichtel writes that he found in a sefer that quotes the practices of the Sanzer Rav, the Divrei Chaim of Sanz, and it is recorded there that on motzei shabbos chanukah one should prepare the oil and wicks in the menorah first, then say havdalah, and then light the menorah.  Once apparently his gabai messed up the order and the Divrei Chaim yelled at him, "Didn't you learn the sugya of tadir v'she'aino tadir?!" and he referenced the Taz in hil Chanukah regarding havdalah.  The Mishnas Sachir writes that he doesn't understand what the Divrei Chaim meant and how he derived from that sugya that the menorah needs to be prepared first, but he hopes to come back to it one day and figure it out.  Sadly, we know that that was not meant to be.

Since there is a tartei l'teivusa here: 1) the sugyos of tadir are inyana d'yoma of daf yomi and 2) this is the Divrei Chaim blog, I thought it worth mentioning.