If you protect your videos with DRM, only eligible users are able to acquire a DRM License and play the video. But there is a threat: a malicious user can act as a regular user (e.g. purchase a subscription) and play a video using a screen recording tool. Screen recording output is DRM-free and can be further shared in a way not intended by the video owner.
DRM technologies do provide some tools to prevent screen recording. However, you also face some tough trade-offs between usability/interoperability and security when using these tools.