No. That is the registry name of the entry. You need to bind a Renderer for your entity if you want it to be rendered.
The rendering lookup is class based, so because your entity extends EntityArrow, the normal arrow renderer is rendering your entity. Example registering entity renderer https://gist.github.com/Cadiboo/3f5cdb785affc069af2fa5fdf2d70358#file-clienteventsubscriber-java-L69