Yeah I agree, would much prefer a permanent signing for a striker, and I think the club would too. Doesn't seem likely we'd go for Brewster unless there was a chance of a permanent deal. He's got 3 years left on his contract.
An additional striker would get plenty of rotation, especially with the games coming thick and fast next season. We only have Connolly, Maupay and Murray as out and out strikers. We know Klopp seems to be a fan of Potter's coaching so that could be appealing to him in terms of Brewster...
According to the BBC we're interested in getting him in on loan along with a bunch of other Premier League and Championship clubs
Rhian Brewster: Liverpool striker wanted by Premier League clubs