For those in the "Stearns didn't try hard enough to get Soto" camp, the Brewers were not even a consideration for the Nationals:
https://www.espn.com/mlb/insider/story/_/id/34371428/how-juan-soto-became-san-diego-padre-biggest-deal-baseball-history
Paywall, so the gist is this. Before other teams knew Soto was available: "....the Nationals identified teams with the combination of farm system, finances and motivation to put together a potentially compelling offer for Soto: the Los Angeles Dodgers, New York Yankees, St. Louis Cardinals, San Diego Padres, Seattle Mariners, Tampa Bay Rays, Texas Rangers and Toronto Blue Jays."
They eventually narrowed it down to the Dodgers, Cardinals, and Padres. The Nats knew what every team had - unless Stearns quite literally offered the farm, the Brewers had no chance (the "finances" part might have been an issue, too).