Brewster quit Liverpool for the Blades before the summer market shut.
Wilder said: “It needs to be applauded and recognised.
“I spoke about 'toilet-bag footballers' last week. You are not looking in that toilet bag and seeing there is two, three or 400 league appearances.
“You are looking in and there's some aftershave worth about four-hundred quid, deodorant and teeth-whitening toothpaste... Rhian wants to put two, three and four hundred Premier League appearances in.
“He wanted to go out and play football at Swansea. It is not just him, but the (other) young boys who have moved abroad. They have taken ownership of their careers, but some don't and allow other people to.
“Rhian has and it speaks volumes about his mentality and what he wants to do and not what others want him to do."