Here are a few of my thoughts on why you might want a stereo jack in your guitar.
www.mrglynspickups.com
Active guitars use stereo jacks to switch the battery on and off. Here is a short explanation of how that works.
There's a tip at the end for tightening up a loose jack on an es335.
P.S. - it's not called an 'Input Jack', it's an 'Output Jack'.