Personally I think they’re referring to a Capon. A rooster who had its testicles removed before “puberty”. This is done to make dual purpose birds (egg and meat) more palatable for meat purposes.

Let’s give the billionaire more capitalism. Yea that’s it. He needs more.

Let’s all celebrate the capitalist pig!

Perhaps they should cook for you instead. That would be a nice thing to do for their child’s bday since they dislike restaurants so much.