They want American merch sales and Americans turning up at Miami and Vegas but what they don't want is more Americans actually involved. Haas suits them just fine, they slide up and down the midfield from season to season but on the whole F1 is still pretty Euro-centric. Much the same way my beloved US team will never get a fair shake in the World Cup, they're not going to let someone like Andretti elbow his way into the cool kids clubhouse.
To be fair, that's because most American/American-backed outfits in the past think you can just throw money at the situation until you win, without understanding the sport.
Eagle was too masturbatorily experimental for its own good; it got Dan Gurney a win but that's about it.
Penske, to its credit, did really well, as they hired a bunch of experienced staff from across Europe, and got John Watson some very respectable results.
But even then, when they lost Mark Donohue, they were headless chickens towards the end of 1975 and sunk gracelessly a year later.
Outside of two points finishes for Mario Andretti, Parnelli was just a big failure that couldn't replicate its Indy success.
Haas Lola was just a load of money thrown into a scratch-built F1 team that never went anywhere.
BAR was just BAT pumping millions upon millions into the dead Tyrrell outfit, and they only saw results once Honda stepped fully on board.
Bobby Rahal ran Jaguar into the ground despite having the full backing of FoMoCo and failed to understand why the team had been so successful under Jackie Stewart's lead.