Yes.
For example, Microsoft is keeping prices of Copilot temporarily free for as long as possible to destroy competitors who can't compete with the best tool available for free.
This is a known attractive tactic to the point where it is the new definition of 'Extinguish' in Microsoft's EEE strategy: Embrace (Open Source, Github), Extend (OpenAI, GitHub), Extinguish (For free).
> Are we going to see increasing prices as the hype goes away and post-nut clarity kicks in the industry?
Until there are enough AI startups shutting down and a few of them have gone public on the stock market. The prices will start to rise by $0.50 - $1.50 per million tokens very slowly.