0.2 cents is how much a single request costs for well-protect website where web scrapers look for emails (e.g. LinkedIn): https://scrapingfish.com/#pricing
Paying additional 0.2 cents per request, if it can significantly improve your success rate, is not really that much and some people use LLMs for even simpler parsing tasks to save time on development efforts.
I don't see how that contradicts my point. With your provider, we're talking about a 100% price increase, for what can't be more than a few points of accuracy in return (and a huuuuge slowdown, because LLMs are slow). At scale, it's all about going through a lot of pages, and fast: accuracy is a bonus, and being 90% accurate is better than being 99% accurate if the throughput is divided by 10 or more.
Paying additional 0.2 cents per request, if it can significantly improve your success rate, is not really that much and some people use LLMs for even simpler parsing tasks to save time on development efforts.