Similar, they are not. PSP games are plagued with dithering, no AA and low poly models (good for its time but not now). It's essentially a PS1.5 while the 3DS is a Gamecube+.
Showing me a shitty video with bullshots (bullvideos?) doesn't prove anything. List some games to prove your point. I've already mentioned Revelations, a game that the PSP couldn't dream of running.
Dissidia Duodecim, Monster Hunter, Kingdom Hearts, GTA Vice City Stories, Little Big Plannet, both God of War, Gran Turismo...
It's hard to find 3DS games with comparable graphics to these.
You made a comparisson with the best game in terms of graphic, but 3DS games are not that much better in graphic terms than PSP titles now.
3DS potential is nowhere near gamecube, a middle term between the fith and the sixth generation, a little bit better than PSP but still far away from a Gamecube