In Formula 1 here, the manufacturers work as suppliers only, and have nothing to do with the actual F1 competition. They do not manage or influence driver placements. They are not emotionally invested in team outcomes as it's all about business and spending. Teams approach a manufacturer to buy into their tech, and all privileges depend on how much they're willing and able to spend.
The manufacturers have no say in team strategy of their powering teams, driver rosters, or how the team is run. They sell in tiers: better tech comes at a higher price, and their reputation is built on how dominant their tech appears across different teams.