I don’t know. But blacks were heavily recruited by various northern states trying to fill their quotas without inconveniencing their white citizens. Notably by recruiting among the contraband camps where escaping slaves took refuge near Union army camps.
There just weren’t many blacks in the north.
For $300, there was NO inconvenience...but who had $300? It certainly wasn't the Irish immigrant who was already competing against blacks for low end jobs and now saw the odds against being drafted drop dramatically since the states STILL had to meet their quota.