I don't see anywhere in the post where they claim private data wasn't leaked. In fact, they explicitly state that authorization cookies were leaked. What they said they didn't find was passwords, CC info, health records, SSNs, and customer encryption keys.
They even have a paragraph talking specifically about cookies in GET requests:
> This is not to downplay the seriousness of the bug. For instance, depending on how a Cloudflare customer’s systems are implemented, cookie data, which would be present in GET requests, could be used to impersonate another user’s session. We’ve seen approximately 150 Cloudflare customers’ data in the more than 80,000 cached pages we’ve purged from search engine caches. When data for a customer is present, we’ve reached out to the customer proactively to share the data that we’ve discovered and help them work to mitigate any impact. Generally, if customer data was exposed, invalidating session cookies and rolling any internal authorization tokens is the best advice to mitigate the largest potential risk based on our investigation so far.
They even have a paragraph talking specifically about cookies in GET requests:
> This is not to downplay the seriousness of the bug. For instance, depending on how a Cloudflare customer’s systems are implemented, cookie data, which would be present in GET requests, could be used to impersonate another user’s session. We’ve seen approximately 150 Cloudflare customers’ data in the more than 80,000 cached pages we’ve purged from search engine caches. When data for a customer is present, we’ve reached out to the customer proactively to share the data that we’ve discovered and help them work to mitigate any impact. Generally, if customer data was exposed, invalidating session cookies and rolling any internal authorization tokens is the best advice to mitigate the largest potential risk based on our investigation so far.