Yeah. This could be stopped by having the points reset after loading, but then it's just a case of who can play Survival Mode the longest...
Oh, I just had a thought: Say you can start either a "point game" or a "free game" or something. A free game would just be Survival Mode but with no score and you could save/load normally. A point game would have the score displayed and you could save/load the game as normal, but your save slot would be erased when you die, so that you're not just respawning to keep your score going up.
Interesting tab you have open in your browser there.
Edit: I locked myself in a three cell deep chamber to tab and check what score I had to beat only to tab back over and find myself dead. There were no enemies around (judging by no walking sounds). Did I just suffocate or something? I've been tabbing all day like this to take breaks. Anyway, here's the score. Close, but no cigar: