I think it could definitely have an influence on milk. Holding bub close is one of the important factors of getting the right hormones flowing. You'll see people advise lots of skin to skin, feeding in the bath etc etc to help establish breastfeeding.. so yep.. i reckon wearing bub in a close wrap like a HAB would bring on the milk! hehe.

It will settle down soon tho, and you won't feel as full between feeds. Soon all your boobs will need is a bit of suckling to get going Sounds like you're going great guns! Well done