Unity does make games, but they are codeveloped with external studios and not branded as being made by Unity.

There was a fear in upper management of labeling these projects as having been made by Unity because customers might perceive Unity as competing with them.

These services are still referenced obliquely on Unity’s public website: https://unity.com/solutions/accelerate-solutions-games (check the FAQ for a question about IP ownership with Unity doing “full development”)