Some of this yes. Some of this no.

Every arm and leg wiggle, every eye blink, every coo and fart and startle.

This is the no. First of all, at this phase the child is a synesthete. The arm and leg wiggles are not communication but stimulus response. Espying the color red may be why the leg wiggled. While delightful to a parent, don't make more of it than it is.

Also, they cannot coo at this stage. You may have confused the social smiling/cooing phase for what the OP is commenting on. The OP is referring to far earlier in development.

The startles are reflexive. The Morrow reflex. It is also not communication. It is just an instinct hardwired in to a primate brain to prevent newborn death by putting the primate newborn in a position to grab on to an adult's body fur and thus prevent falling to their death.

I find this phase personally delightful because you get to see the human BIOS on which their person operating system is shortly to be installed, but it is absolutely okay for people not to, just like some computer enthusiasts love a BIOS and others don't. So long as one isn't neglectful, it is okay to not be enthralled.