are you saying the connection at the avr needs to be 'wiggled' and not fully plugged in, or the connection at the projector?
either way, that's not a good thing. i'd still maybe check if other hdmi cables work, I did have an issue with my old projector where the hdmi cable didn't seem to seat properly. I actually just had a short extension lieing around that I used. but it was the opposite, the cable worked when fully inserted, but lost connection when I didn't hold it in place. since I got the jvc, I no longer needed the extension, the monoprice hdmi cable works fine for me(not redmere, it's an older one)
Displays: Samsung PN64F8500/JVC X35
AVR: Pioneer VSX-1130K, 7.1/5.1.2 audio
Sources: HTPC(Enby), PS3, XBOX360, Wii
Control: Harmony One