IIRC, MD5 (and probably the other hashs) are implemented in exactly this form in OpenSSL.
I can't really think of a more straightforward way to implement CRC32, frankly, especially assuming that maybe you don't want to force the entire buffer to be present. If you did, you could `uint32_t crc32(unsigned char * buffer, size_t len);` — but you can implement that function in terms of the interface in the article, and if you pick up a bit of inlining from an optimizer, I think it would end up being just as efficient, too. (If you don't, you'll end up with some extra pointer dereferences, but again, the streaming interface supports streaming.)
And perhaps to stress what some other commenters are missing: it's not "you should always OO in C"; it's that if you want an interface to compute, while streaming, the CRC32 of a stream — you need to store that state somewhere, and you need to act on that state somehow. That state is an object: it has a setup, and potentially a teardown, and two relevant methods: feed it data, and get the computed hash.