At this stage, they certainly have the right to refuse whatever tasks they'd like, but even rightful actions come with consequences.
The more they exercise that right, and the more reactively so, the more they erode the ability for customers to rely on their product staying available to them in the long term. If I need to worry that Anthropic might shut down some critical element my workflow on any given week, then I'm incentivized to either keep my workflows very portable and light-footed (goodbye moat) or take my business to a vendor I can better rely on (goodbye customer).
The more they exercise that right, and the more reactively so, the more they erode the ability for customers to rely on their product staying available to them in the long term. If I need to worry that Anthropic might shut down some critical element my workflow on any given week, then I'm incentivized to either keep my workflows very portable and light-footed (goodbye moat) or take my business to a vendor I can better rely on (goodbye customer).