Are you shure that you have a L710 because I don't see a spring loaded connector, the whole connection area has four screws holding it to the back , And I think you have to remove it from the back and the connectors should have a wires attached to it, it also looks like you have a fuse holder I would get a Multimeter and put it on continuity and move the connections around with your finger and see if you lose the tone of the multimeter.
ADS L710 speaker spring connector repair experts
I have a nice pair of ADS L710's (original owner) that cut out periodically on one speaker. I am pretty sure the +/-spring clips on rear have become loose somehow and need replacement or repair. (If I push on either of them sound returns) There does not seem to be any way to remove the clips from the rear (no screws, etc). I'm guessing you have to remove one of the woofers and get at the clips from the inside of the speaker. Does anyone have experience with this repair and have tips on difficulty? I'm fairly handy but don't want to pull out the woofer without some sense of what I'm getting into. Thanks for any help.