Of course the Braves have extended players that would otherwise have hit free agency. Maybe it's semantics, but I was talking about signing new players. And Ozuna originally signed for 1 year only, and then got the extension when he put up an MVP-caliber season in 2020.
Still, even your examples show that the Braves have not been willing to get into a bidding war and overpay for a player, even a beloved franchise icon. Will they go after Adames if his price tag is reasonable? Sure. But how likely is that for the top guy in an underwhelming SS class?
Ozuna didn't get an extension. He went to free agency after 2020. Everyone had a chance to bid on him.