What I want to know is, will that bend affect the functionality of the LCD?
If the LCD didn't have a bend, but the motherboard doesn't have the door to hold it in place, would that affect the LCD not showing an image?
While it's opened up, put the lcd ribbons in place like normal and plug the psp in to power it up. If it works fine then get a small piece of electrical tape to hold the smaller ribbon cable in place.
It should be, but before you do that try applying a little gentle pressure on that ribbon cable with a small object so the metal leads are making contact while its in the slot where the lock was and see if it works. If you still can't get it to work then I would say yes, anew lcd is needed. Also, if you still have the lock, try putting it back in place with the cable in the slot while holding it down and try it.
As far as I know this strip is for the backlight, but I am not totally sure, has been a while since I messed with a PSP 1000. That little door you are referring to just holds the ribbon in plase and maybe adds some extra pressure, so theoretically it should work when you just plug the ribbon in and use some scotch tape to keep it in place.
Xbox 360: Slim untouched with a faked 320 GB harddrive for XBL, phat with LT 3.0, played Halo early, so going on live would be an instand ban, also with a faked 320 GB harddrive
PS3: Untouched 160 GB Slim, 60 GB Fat with latest Rogero and 160 GB internal harddrive.
PSVita: hardly ever play it
GameCube: Black with a Viper chip installed. With gameboy player. Trying to get a Wavebird controller.