> How useful is a compute node that can't use the internet
It doesn't say that. It says that it will use your broadband connection. It says most of the time it will just be for monitoring and speed tests, and it also says that larger uploads/downloads will be limited to a fraction of your bandwidth and they'll try to run it overnight.
To me, this says they'll send/retrieve datasets to be processed on the server, slowly, mostly overnight.
> It is in direct contradiction to what the author of the article wrote
Yes. I don't know why he wrote it, but if you click through to the trial on https://www.heata.co/trial and scroll down to the FAQ, it is right there.
> And if it does use the internet, it's now using your internet (and presumably your electricity) for free
I think maybe you need to read the FAQ. They see how much electricity they're using by installing a meter for this specific purpose, and they pay you for it.