Yes, it can. As a rule of thumb, whatever works on a Macbook Pro 15'', works just fine on a Macbook A1181.
Elsewhere (I won't give the link to a commercial competitor of iFixit) the unit you mentioned is flagged as mutually compatible with GWA-4080N, GWA-4080MA, GWA-4080 4080M 4080MB, UJ-857, UJ-867 GSA-S10N, GSA-S10NA, UJ-857-C, 678-0525A, 678-0543A, CW-8221, CW-8221A, CW-8221-C and Super 857CA 678-0542E (Replaces UJ-857-C 678-0525A 678-0543A CW-8221 CW-8221A CW-8221-C HL-Data GWA-4080M GWA-4080MA, UJ-867).
Well, I've heard Macbook original superdrive tend to fail. Mine is working peachy with really minor hiccups since ages, but I'll keep my eyes peeled for one of those.