But you have lost scope of the question. We have a person who is JUST STARTING in the tech world. Not someone who has more gear than some dive shops. We are dealing with someone taking AN/DP and will be on there first set of doubles. Not someone who looses track of how many sets of couples they have. For you, yes I would expect you to have your own analyzer. But for someone who is getting there first set of doubles? And back to the other thing I keep harping on, what analyzer? A basic O2 meter doesn't compare in cost to a trimix analyzer. The question was an analyzer or a Shearwater. Being that a trimix analyzer and a Shearwater are comparable in price that is where I am setting the question at.
SO without getting into what everyone owns, go back and answer the question for the entry level tech diver who is just starting this. Basic entry level here. Not filling there own tanks at home, not pulling out a whip and transfilling on a boat (yet). Good chance the class will be just air and a rich Nitrox stage. And hopefully there will be several dives in this configuration just getting settled in. We all know the eventual answer will be both, and a lot more gear. But properly scale this to what someone taking the class can use right now.
Ask the instructor is still the best answer. Local conditions vary, maybe an analyzer really is needed as there isn't one around that can be trusted or is reasonably accessible. Maybe the instructor like to see a pair of matching computers as a better redundancy.
Remember back a few years to my AM/DP class, and thinking of my local options, I would have picked a second Shearwater. But that was my situation.