According to a Discord spokesperson, the answer is no.
Before users began complaining, the policy was going to be updated to say that Discord would be collecting information on “any content that you upload to the service. For example, you may write messages or posts (including drafts), send voice messages, create custom emojis, create short recordings of GoLive activity, or upload and share files through the services. This also includes your profile information and the information you provide when you create servers.”
Since then, Discord added back in the missing language, word for word: “We generally do not store the contents of video or voice calls or channels. If we were to change that in the future (for example, to facilitate content moderation), we would disclose that to you in advance.” A Reddit user identifying as a Discord staffer told Redditors that Discord won’t “regularly” collect this type of content.
“We may build features that help users engage with voice and video content, like create or send short recordings,” Discord’s new policy states.
Discord doesn’t have a perfect record when it comes to user privacy. Last year, Discord was fined 800,000 euro for privacy violations in the EU, including failing to close out voice rooms when Windows users clicked the “X” icon. Instead of exiting those users, the EU found that users unwittingly stayed logged in to voice rooms, which continued running in the background and could be transmitting private conversations that users did not know could be overheard.