PBKDF2 is not a cipher. It's a KDF, and it's almost always used with an HMAC or a cryptographic hash rather than a cipher. The thesis of this article seems to be "PBKDF2 is well understood, where bcrypt is not." In fact, the opposite is probably true.
bcrypt uses a block cipher (blowfish) to create its underlying compression function. Block ciphers are extremely well understood, have been studied to death for years, and are modeled on extremely well understood constructs. They can be used to create cryptographic hash functions, but usually aren't, because they're slow (which we don't care about in this case).
Cryptographic hash functions, by contrast, are not well understood at all. They are "magic" in many ways, and aren't modeled after anything. Many more "bad things" happen in this space than in the block cipher space. The only reason people mess with them at all is because they're faster than block ciphers, which again, we don't care about in this case.
The other appeal to PBKDF2 is because it "comes from RSA." This doesn't feel like an extremely compelling argument, but if we were going to believe it, then why not use the PKCS#12 KDF? PBKDF2 was proposed in PKCS#5, and "12" is a larger number than "5", so if we're going to do what RSA tells us we should do, they're essentially saying we shouldn't actually use PBKDF2.