Except we already know the anti-cheat system they use works on Linux, because other products use it. Therefore we have no evidence that the blocker here is technical: it could be political, process-driven, simple incompetence, or anything else. In any of the latter cases, there can be no conclusion of correctness of the parent comment's claim.

I don't play For Honour, but I'm monitoring Apex Legends pro scene and I know that Respawn has banned Linux because none of the existing anti-cheat solutions were good enough and the cost of maintaining their own solution was not worth the revenue Linux support was bringing.

Before the ban the cheater population was disproportionally high on Linux.

It may run on Linux but it doesn't really do much in terms of stopping cheaters.