IoT Malware and Botnets

Question

According to Wikipedia, A botnet is a logical collection of Internet-connected devices such as computers, smartphones or Internet of things (IoT) devices whose security have been breached and control ceded to a third party.

So, can we say that all IoT Malware families are botnets as the IoT devices affected by malware are controlled by C&C (Example: Mirai) or use P2P (Example: Hajime) for further infection?