There is actually power in both. I think you need to take a hard look at the offer and the audience with regards to where they are in the funnel. I've traditionally been very focused on singular CTAs and minimizing every opportunity for defection, however, I've seen some success at top of funnel grabbers where multiple related types of content are provided - e.g. go to the site, see the video, download whitepaper - all related to the topic, but allowing them to have an alternate consumption - then ultimately putting them in the same nurture stream.
Beauty of this solution - you can test it. Set up an A/B split with the audience then review engagement.