Omega is actually is playing the scarcity game but diffently, go ask your AD if he can get you a snoopy, ED white, or Bond anniversary watch, he won't and if he can he will sell it at full price.
I'm not saying that Omega should or it will follow Rolex playbook, but they are following their footsteps even some of their releases and dial configurations are direct response to Rolex.
I agree that Omega is part of a publicly listed company and they need to make profit but they can do so in many ways not just by production volumes, but if you think Rolex is a charity that do not seek profit, then you are mistaken.
By the way Rolex did in fact reduce their production from 2017 until late 2020, their sudden scarcity was not due to the sudden demand increase, but due to sales techniques and market strategy on how to position their brand and create HYPE, and your AD is making more money because 1- they are selling more watches due to increased hype / demand 2- and because they do not offer any discounts even on ladies watches.
How long the watch market will continue to be strong no one knows, but watch companies will try to benefit from current situation as much as possible and as long as they can, all what they see and care about is $$$