Not true at all man. I'm an engineer and deal with strickly software. Fact is, a computer "engineer" can deal with hardware or software. I program and develop as well as admin networks. It's not as "simple as that"
Computer Science is the general concept behind computers and technology. It is the "understanding" of computers and technology.
Computer Engineering is the construction or management of computers (software, hardware or networking).
Two TOTALLY different concepts.