Most of the companies that spend $$$$ with them can't use public registries for production/production-adjacent workloads due to regulations and, secondarily a desire to mitigate supply chain risk.
Artifactory is a drop-in replacement for every kind of repository they'll need to work with, and it has a nice UI. They also support "pass-through" repositories that mirror the public repositories with the customization options these customers like to have. It also has image/artifact scanning, which cybersecurity teams love to use in their remediation reporting.
It's also relatively easy to spin up and scale. I don't work there, but I had to use Artifactory for a demo I built, and getting it up and running took very little time, even without AI assistance.
Having a private package index gives you a central place where all employees can install from, without having to screen what each person is installing. Also, if I remember right, there are some large AI and ML focused packages that benefit from an index that's tuned to your specific hardware and workflows.
Plus the obvious need for a place to host proprietary internal libraries.