The ES2 systems on my guitars use sensors behind the saddle, not under it. Check yours carefully. If you see three round plugs, each with a tiny Allen screw, those are your ES2 pickups. You have the option to not use the ES2 but you can’t really remove the sensors without some custom made plugs to fill the holes in the bridge. There are kits on Etsy that will replace the battery box assembly to allow you to still use a strap.
Also, if you search through here, you’ll find the method of adjusting the pickups and knobs to get a decent sound. Some people also use things like the Tonedexter to shape the sound the way they want it.