Is Alkyl dimethylbenzyl ammonium chloride Safe in Breastfeeding

I am a breastfeeding mother and i want to know if it is safe to use Alkyl dimethylbenzyl ammonium chloride? Is Alkyl dimethylbenzyl ammonium chloride safe for nursing mother and child? Does Alkyl dimethylbenzyl ammonium chloride extracts into breast milk? Does Alkyl dimethylbenzyl ammonium chloride has any long term or short term side effects on infants? Can Alkyl dimethylbenzyl ammonium chloride influence milk supply or can Alkyl dimethylbenzyl ammonium chloride decrease milk supply in lactating mothers?

Topical maternal application of Alkyl dimethylbenzyl ammonium chloride or benzethonium chloride or their presence as a preservative in pharmaceuticals would not be expected to cause any adverse effects in breastfed infants.

A study in Japan randomized 80 consecutive term patients into 4 groups who received either povidone-iodine or benzethonium chloride as a skin disinfectant before delivery and one of these for postpartum vaginal lacerations. Prepartum doses were about 7 mL and postpartum doses were about 0.5 mL of solution. Infant thyrotropin levels were elevated in the infants whose mothers received topical povidone-iodine pre- and postpartum compared to infants whose mothers received benzethonium chloride.[2]