Continental requires hooked rims even for their _tubeless_ 5000s.
The tire/rim interface is different for tubeless setups and tubed setups. With tubed setups, the bead locks against the hook. With tubeless, the bead is supposed to be tight against the rim bed; the hook (if present) is there as a backup.
What you're proposing is using a tire that was designed to lock against a hook, without any hook. This sounds like an invitation to rim blowoff. I would be surprised if any tire manufacturer endorsed the use of tubed tires on hookless rims.