A weakness of the OCSP protocol is that it gets sent the certificate hash as an input. This means that to a significant degree, an OCSP provider can track what software you are using, what sites you visit, etc... For the code signing certificates, they could also determine which year (or two) it came from.
DigiCert could sell that to marketing companies, and spy agencies / state-sponsored hacking groups could use it to determine if you are running vulnerable versions of software they have hacks for.
There would be ways to fix the protocol to be less vulnerable to this, but I'm sure you'll find that any such suggestion would be rejected by the major players like DigiCert in a strangely forceful manner.