I don't think so. ArianeSpace's best price for an Ariane 6 launch, with all the subsidies applied, is gonna be around $75 million, maybe more. SpaceX's sticker is $67 million for Falcon 9 and they've been known to come down $10 million or even more to win an important contract (while still preserving fairly healthy profit margins). I don't think there is a single case where a customer would pick Ariane 6 over Falcon 9 except for political reasons.