I think I'd agree with this, with the caveat that if the purpose of taking the story is to charge for it, I'd object. That said, I have no problem at all with something like SOL where the story is available for free, but there are enhanced features for paying members.
Except … there's a specific segment of copyright law which specifically guards against this. It's the penalty phase, as it addresses when someone gives your story away for free, then thus diminishes how much you as the original author, can earn. They never actually stole anything from you, but they've undermined your ability to earn money from your work.
Unfortunately, the only redress (filing a formal copyright for each book/version) requires paying an additional $57 per usage, which for most of us is fairly prohibitive, and we're unlikely to ever recover that upfront expense from those taking advantage of this particular loophole.
And I hate to say it, but webmasters are often the worst offenders in this case, as they'll start a fledgling website with little content, steal a BUNCH, while highlighting the fact they have numerous well-known and respected authors, and by the time an author learns of it and files a take-down notice, the damage has already been done. That's a akin to politicians constantly running popular songs in their ads, without paying for them or getting proper authorization, and when the artists object to the misuse, they politicians just say 'Oh yeah? Just try to stop me!'
In those situations, there are really very few legal remedies, and these are a widespread but largely unreported form of copyright theft (proper attribution but no attempt to ask permission before using a word for free).