I just received my single cut 594 five days ago. The differences definitely will be subtle, but I listened to every YouTube video available, because the single cut body is connected higher up on the neck the neck will be more stable, the single cut body is going to have 0.5 to 1 pounds more heavy mahogany. But you can easily find them crossing over. Some double cuts can come in at 8.5 lbs and some singlecuts can come in around 7.8 pounds.
So overall we believe the single cut will have the tendency toward slightly more powerful Or thicker power chords. So I was interested in chasing the tone first. But I also love the shape of that guitar. The trade-off is as stated above would be slightly better playability on stage, less weight more comfort on a strap, Additionally the double cut allows better access to the 20-22nd frets, but my 594 singlecut is way better than my Les Paul, In other words I can access the 22nd fret with no problems.
As Viper doc says it almost comes down to the appeal of the shape after considering what its main use will be.
Which is the most appealing shape? You can't lose

you'll be happy no matter which one you pick.