The Rivevos Ephraim chelek 8:362 ,holds to cover after the shel rosh because it might br a hefsek.in chelek 8:12 he brings from the Chazon Ish that he would take the covering off and then put it back on after he made the bracha of the shel yad and made the wrappings.srr it inside for alot of sources on the topic.
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