I'm somewhere between my Dingoo A-380 and the Sony PSP.
The PSP is very good for PSX games if you know how to get them to run perfectly on the console. There's also a few PC ports that run very good (better than the Dingoo). The emulators aren't as good as the Dingoo A-380 emulators. A lot of them run slow with bad sound. The Atari LYNX emulator from d_smagin for the Dingoo A-380 runs a lot better than any Atari LYNX emulator for the PSP.
I don't think that the Sony PSP is a shitty console. You just need a Dingoo for all the other emulators and games that don't run as good on the PSP.