Nitwit villager can have a profession

The Bug

I found a nitwit villager who worked at a stonecutter

Steps to Reproduce

• Summon a zombie villager with the nitwit profession that will almost instantly convert into a villager.

  /summon minecraft:zombie_villager ~ ~ ~ {ConversionTime:10,VillagerData:{profession:"minecraft:nitwit"}}
  

• Place down any villager workstation nearby, for example, a composter.
• Watch the behavior of the villager closely as it approaches the workstation.
• Check to see if the nitwit has an assigned job site block by using the "/data" command.

  /data get entity @e[type=minecraft:villager,limit=1,sort=nearest] Brain.memories."minecraft:job_site".value
  

• Take note as to whether or not nitwit villagers can have professions.

Observed Behavior

Nitwit villagers can have professions.

Expected Behavior

Nitwit villagers would not be able to have professions.