The longer-term risks are the counterargument.

Storage costs of even video, for curated content, are de minimis. That's changed over the past 10--15 years (roughly an order-of-magnitude decrease every 3 years or so). Bandwidth is more substantial, but CDNs can address that w/o the third-party domain list. E.g., "example.com" points "cdn.example.com" to their CDN provider. So long as Example maintains control over their own domain, third-party reregistration isn't a threat.

(Well, until your portfolio of redirects extends to the thousands or millions of domains. Scale has problems all its own.)