I asked the question "The Gemoro in Rosh Hashono 17b says that HKB”H put on a talis like a shaliach tzibbur and taught Moshe the 13 middos and said whenever Israel sins they should perform before Me according to this order (which we understand to be repeating the 13 middos) and I will forgive them. Are there any authorities who infer that for saying the 13 middos the shaliach tzibbur should wear a talis?" and accepted an answer that said yes for selichos at a time not yet appropriate for tzitzis.
So now I would like to know please, can we assume the same would apply at a weekday mincha, Nusach Sefard, where they say 13 middos as part of tachanun? (Mostly I see that the Sha"Tz in Nusach Sefard shuls does not wear a tallis at a weekday mincha.)