I like the idea. But I can actually see a reason why it might be disabled.
Let's say your team lucks into a crazy strong composition. Something like
(I actually had to play against this in ARAM not too long ago--standing behind our own turrets was suicide). The enemy team sees your comp and knows it's going to be a stomp.
The enemy team can collude by having one or more of their teammates disconnect and then go for the remake. More likely, one of your opponents will disconnect just because he doesn't want to play against your team and will do it without discussing it with his teammates. But the enemy team still gets a free out and can get the remake.
There's a little less incentive for this for most game modes on SR because you generally get to pick your champion and generally get to see what the enemy team is picking as well. But since you have the deal with luck of the draw in ARAM and go into the game blind against your opponent, the incentive and opportunity to abuse remakes is somewhat stronger on ARAM.
I hate people who AFK in ARAM and report them every time. I try to get my teammates to report them as well. I would love to see harsher penalties for repeat AFKers. The current AFK penalties don't seem strong enough to deter the behavior.