I could go with this if they actually apologized and fired BrandShield. They did neither of those things, so have demonstrated their full endorsement of BrandShield’s fraudulent behavior.
They blamed the service provider… BrandShield called for removal of the page, not the whole site.
Brandshield sent a fraud report to the domain registrar. Unless they are also your hosting provider, a domain registrar has no control over individual pages, only over the domain as a whole. So this was the only action you could expect to be taken, if you expected the domain registrar to act, and you sent them a fraud report hoping they’d act. So claiming they only tried to take an individual page down is disingenuous at best, and more likely just an out and out lie.