The first doesn't imply the second.
Ariane 6 is behind:
* ULA's Vulcan
* SpaceX's F9/FH
* SpaceX's Starship (who knows when it'll start launching payloads)
* Blue Origin's New Glenn (supposed to be launched in September)
in terms of raw performance as well as $/kg.
There are also a number of other rockets like RocketLab's Neutron and Relativity's Terran R that seem like they'll outcompete Ariane 6.
The medium/heavy lift market is getting much more crowded than it has been in the past.