That's not exactly right. It looks more like a combo drive to me. A CDRW burner is capable of burning CD-RW and CD-R. It is also capable of reading CD-ROM, and all the things it can burn. However, it is not capable of reading any DVD mediums. A combo drive is capable of burning CD-RW, CD-R, but not any kind of DVD recordables. It is also capable of reading CD-ROM, DVD-ROM and some burned DVD mediums. Hopefully this clears things up a bit.
Most of us here has a what BenQ defines as DVD Rewriter like DW1620. It is capable of burning CD-RW, CD-R, DVD-R, DVD+R, DVD+DL, DVD+RW, DVD-RW and read CD-ROM, DVD-ROM plus all the things it can burn of course. There are drives out there that support other formats such as DVD-RAM, but it's not that common.