As some of you peeps mentioned, it's one of the best sequences in the movie and shouldn't even been considered to be removed. Not only does it set the gothic tone of the movie really well, it also bridges one of the most interesting aspects from Prometheus, the "daddy" issues, which are also closely related with David's path in Covenant. He wants to be a creator. He wants to be a father. He is awakened surrounded by art made by us, in an almost suffocating way, with Weyland immediately telling him how superior we are because we're capable of both giving life (organic and synthetic) and create such beautiful pieces. When you start a conversation with an android with a (probably) superior intellect than us, some resemblance of free will and a very tepid sense of morals, you're in for a ride if you're not careful.
The viral video for Walter served as an awesome counterpart. Much more formal, cold and robotic. Couldn't be squeezed onto the movie for obvious reasons but I really enjoy these complementary little shorts.