Watched this on blu-ray and appreciated it a lot more than when I saw it in the theater. Maybe knowing what to expect helped it out a lot more. I went in to the theater hoping for a direct continuation of Prometheus, which I greatly enjoyed.
For those interested in the mythology, there are 2 extras on the blu-ray that are very nice. The first is the extended opening sequence with David and Weyland. There is only one bit of extended dialog but boy is it a doozie. As David sits at the piano, he explains the piece he is playing. It goes a very long way to explain the actions of the Engineers in Prometheus, as well as David's decision to wipe them out when arriving at their planet. This is less than a minute of added dialogue, and I have no idea why they decided to cut it out.
The second piece is called 'Advent' and is in the 'Section 42 - Planet 6' or whatever named feature in the extras menu. This goes a loooong way to fill in the gaps between Covenant and the original Alien and explains the Company's interest in getting the alien in the original film. David also refers to Daniels with a very specific term that I won't spoil here but will make you go 'Oh, shit'. Or really piss you off, depending on your feelings of how they are handling the story. I suspect they may have created this, in case further films do not ever get made.
At any rate, those two extras are not to be missed.
I watched on 4K the other day and (even though I didn't hate the movie as much as some others did) I think it worked a little better for me as well. It must be said that the movie looks gorgeous (especially in 4K). Ridley's flair for visual design has always been his greatest strength as a filmmaker and Covenant is no exception.
I think I understood the motivations of some of the characters a little better, especially Russell Hammond's. I think the talk he has with one of them where she says "Once we get to x, these people won't be your crew anymore, they'll be your neighbors" explains to me a little better why he decides to go off mission. Also, if you really look, it's not like he put his face right up to that egg (and even if, it's no different than what Kane did in the original) and he's not fully expecting David, a synthetic, to actually be murderous. I like the few moments that the crew were breaking each other's balls a little bit before setting down on the planet. Much better than the cantankerous Prometheus crew.
I liked the conversations between David and Walter, but another layer was added for me when I realized that.....
Walter spoke with a different accent than David and that David needed to learn how to talk like Walter
Of course, callbacks to Goldsmith's iconic "Alien" score are always more than welcome.
The problems the movie has will always still be there. I can only identify 3-4 of the crew members by name. The lead is weak. Daniels really only becomes the lead by default because she endured some personal tragedy in the beginning and that someone has to be the new Ripley. However, she's not really given any of the qualities that Ripley had. If you go back to "Alien", it's very easy to describe the traits in Ripley that made her the ultimate survivor. Do the Plinkett test on describing Ripley vs Daniels and it becomes pretty clear.
And even though I praised the visuals, I wish Ridley would have dialed back the CGI when it came to the Aliens and the attacks. I guess maybe it's not all his fault though, I don't think "modern" audiences resonate with the "less is more" maxim of keeping things frightening.
As far as that one deleted scene you mentioned with David at the Piano, do you remember the added dialogue? I had trouble identifying it.