I'm the source because I experienced this firsthand in 2007. I found the article because I needed to validate an almost 12 year old memory. :)
As for the quote you picked out, it's a partial truth.
The partial truth is that sure, the domain was "available to register"...at a multiple of the standard price. I don't remember what the multiple was. And if you wanted to purchase through another registrar you couldn't because NetSol held the domain.
This all resulted in a class action lawsuit:
https://techcrunch.com/2008/02/25/network-solutions-icann-su...
That was settled a year later:
https://domainnamewire.com/2009/04/29/network-solutions-sett...
Edit: I removed where I said the part about the domain being released after four days was a lie. I remember it being much much longer but at the same time, I don't remember all the details well enough to make a statement of that potency.