It's a touchy situation. I agree with the principle but, I played on many game sites where if you expect someone to do the right thing, they'll just win and run. I once played on a card game site where the site was so flawed, you could quit on the last card when you are ready to lose and won't suffer a loss to your rating but get a "shame on you" one incomplete on your record. I kid you not there was a guy who had a 1000 perfect wins no his record but, he had over 250 incompletes! I landed up quitting that site because of that because I never would quit my game and take my loss as a man, but so many people wouldn't do that and I got no credit for my win.
I would still probably offer a draw to your situation because it is the right thing to do, but I know if I faced others on this site, they'll be "too bad". Let's just hope the site corrects whatever the issues are that are causing you not to finish your game and you won't be forced to hope for a drawn situation.