PSP software sales do not support that. Whilst the PSP sold around half what PS2 did and two thirds of what PS3 did, the software sales over time are nowhere near proportionate to those two platforms. It looks good as first (GTA Liberty City Stores) selling a proportionate amount to GTA III/VC/SA on PS2, but it game sales nosedive over time as piracy kicked in.
For whatever reason, PSP was way more prone to piracy than PS2. Possibly just hardware vs. firmware hacks being required. Given the profit in software licensing and sales, piracy is a massive revenue suck.
Yes but that doesn't mean that software sales weren't good for it and sony was taking 30% cuts on all that software the whole time. If the psp wasn't doing well for sony financially they wouldn't have made a second one.