No, you see the DS is actually suffering harder than the PSP in terms of the number of pirates. Its just that the DS has the special Non-gamer/ ignorant audience who buys shovelware and compensate for those that do download games illegally.
The PSP only appeals to the hardcore market and people in this group are unlikely to fall into the "ignorant" group and buy shovelware.
This is why developers complain about the PSP and prefer the DS, because they can't produce Petz: groom your own penis! series and reach platinum sales.
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