Ariane 6, which isn't even flying yet, is projected to lift 10350 kg - 21650 kg to LEO, depending on the version [0].
Falcon Heavy can lift 63800 kg to LEO in expendable mode [1].
You were indeed correct that they are not playing in the same court.
[0] - https://en.wikipedia.org/wiki/Ariane_6
[1] - https://en.wikipedia.org/wiki/Falcon_Heavy
In practice, their payloads have been a few tons at best. Whereas Ariane's track record with Ariane 5 is almost flawless and actually hitting those announced maximums.
But sure, trust the company that has regularly been lying on their abilities :)
You can't be fucking serious.
Falcon Heavy launched 6465 kg satellite to GTO, while landing all 3 boosters.
