The issue tends to be that weaving in AA's is only really safe to do when you catch someone out, or in early game.
In the former case, you can still trigger it at least once even with her low AS, and building a raw ap item for more burst with her abilities themselves is more effective, and in the latter case there are higher priority items to be building so you don't go oom.
Late game she has enough AP/range/CDR to chunk out opponents without her passive, while her opponents are probably built enough to murder her squishy self relatively quickly if they can get on to her, and hence she wants to stay back even if it means she doesn't get to proc her passive much.
edit: Unless they changed how lux's ult works with her passive, I'm pretty sure it procs her passive anyway, so Q/AA/E/R(/AA) would be the full combo, with no need to AA before the R.