Long time lurker, 1st post:
My take on trailer: Just like everything else there will be thumbs up, and there will be thumbs down - no matter what. I personally liked it, but only after watching couple of times. Two main points:
1. This is just the 1st trailer - 1st part/hour of the movie. Arrival, landing, spores and finally lander blowing forcing them to "step out".
2. Real Prometheus/Alien story is in the 2nd part for which there will be 2nd trailer. Entering Citadel, finding David and his "chamber of horrors". One of them is the alien egg, experiment for which David needed and finally found test rabbit.
I also expect David to show them what happened with Engineers (remember stills of Engineer / Alien massacre?) and how things got out of hand on Paradise. What happens afterwards will be the 'real' meat of the movie. I am very curious about Shaw story. Has David put her in hibernation, or is she another of his experiments? There might be some real foreshadowing here. Noomi Rapace is not even on main screen actor list, yet she reportedly spent several weeks filming in Sydney. I don't believe she will turn out to be alien queen, but I wouldn't be surprised if she is the only survivor from Covenant movie - and not Daniels, as most expect. Along with Walter probably.
Another speculation -- Alien 5 has been delayed because it would spoil Covenant in some degree. Reportedly script has "the most satisfying end to Alien saga". Can it be that Ripley, Hicks and Nute end up on Paradise, where everything started by David' experiments with black goo. So this is where Ripley will somehow find way to finally finish it for good.