Stated CPU requirement for the LH-18A1P is Pentium 4 1.3GHz. Would it perform adequately with an AMD 1800+ (1.53 GHz)?
It should be fine - yes.
The 1800+ is approximately equal to a P4 1.8ghz, I believe. The P4 data path differs from the older P3 path, so AMD changed their labeling to make it a clearer comparison between the AMD and the P4.
The CPU and RAM requirements on the packaging of the drives actually are requirements of the software bundled with it (DVD authoring and stuff like that).
I doubt that most DVD home video recorders come with 1 gig of RAM
My friend uses his dvd burner (some 16x nec) in his old pc - 200 Mhz pentium 1 with 128 MB sdr ram. And it works fine.