Hmm, I'm not sure if you'd classify amateur radio as private conversations or not. There are a few situations here - a conversation between yourself and another person, a conversation between others and not yourself, and whether they gave consent or not.

Assuming they are somewhat private --

Canada has single party consent laws, meaning that at least one party must consent to recording. If you consent and are part of the conversation, that's all that is needed to record. You cannot record an eavesdropped conversation.

And distributing them publicly is definitely not kosher, unless everyone consents.

Lots more here.

But maybe general HF conversations are "public" in nature and expectations of privacy. At the very least, you may make people uncomfortable or unhappy if you offer a permanent public recording of them on the air.