Job seeker permit is what he will get, it is what the authorities deem as most logical. This is three months, can be extended once by 3 months if he proves he looked for a job.

AFter that, it is either getting married (if no job yet), or be lucky. Lucky meaning kanton Zurich being lenient on the recognition of his boyfriend status. But you would need to look into that; it is not a right at all. In my kanton, 12 years of being together was not enough, even when both being old EU. Had to go the marriage route.

Just to warn you on possible prospects down the line