Unless it was on an F1 car, then no, it doesn't
Are you somehow suggesting if Pete Sampras wasn't wearing Nike, he'd no longer be able to hit a tennis ball? And if Lewis Hamilton and his day turned up at Monte Carlo they'd still win without the team behind them?
Motorsport is massive in the UK.
F1 is the peak of motorsport.
If you want to argue this further, can you go read the classified section of Autosport first, where you'll find 5-10 F1 teams looking for staff all based in England, along with every last Touring Car team, also some Rally teams. Even if you go look over the pond in the States, in Indycar, would you like to place a bet on where all the Chassis are built for these cars