Maybe you pay those costs before you sign a contract, and avoid a jurisdiction in a contract that you have no connection to (if you can). But you will definitely pay these costs when you have to litigate. If you think Claude or ChatGPT is the best answer to this, and all you need to know is using advanced voice and upload documents, I believe that's not that useful piece of advice.
Please bear in mind that it's not just particular case law that these tools hallucinate. They give incorrect advice in very different ways how humans do. If you can find a lawyer you can trust in a jurisdiction you're interested in, and you got along with him/her quite well, you can trust them for as long as they're in business, even if you never pay them once again. And they might even give you referrals or point to other professionals, understanding your budget and situation. Of course, they can still give you bad advice, they can become gambling-addicted, and run away with your money. It happens, even if very rarely.
But with LLMs, you won't know when they hallucinate, and what they get wrong. Even if you have the full statutes and case law uploaded and updated, it will give you wrong answers as well, but they're not working in the same way as humans do.
All we know that it's more likely to give you incorrect advice in jurisdictions not being covered by their training data (like outside New York or Delaware), and it will draw incorrect inferences in other cases from materials it has seen. Usually only lazy lawyers not reading the output will face the problem of incorrect case law.
But legal advice is not like coding where you can filter out most of the incorrect answers with tests and compilers. The author have happened to chose the wrong lawyers for the first time. I accept that not everybody has reliable lawyer friends qualified in Delaware, but in terms of advice, it would have been more practical to discuss the possible directories to use, beginner's methods to select lawyers, warning signs to look out for etc. It's sad that many lawyers act for trolls and do bad faith litigation. It's even worse that bars have no methods to exclude and disbar such guys. But you cannot avoid these problems by trusting a cheap AI tool instead, that's just wishful thinking.