Oh hold on just a second!
All cockerels are snotty at times, especially when they are learning who they are. Culling is fine, but it would be at least reasonable to wait until he could be of some nutritional value.
I am a realist and realize that breeders everywhere cull cockerels just because of what they are, but it is a bit different when they are a day old v. 7 weeks.
Any chance you are in Oregon or Washington?! Very slim I'm sure, but I'll take him. We've got some good roosters here who put awnry cockerels in their place.