Two questions. One about trem and the other about battery and hum cancelling

I’ve been looking at these Cutlass guitars and they look really nice. I was wondering if it’s possible to float the bridge though. I understand it’s set up to rest against the body so you can do pedal steel types of bends without the guitar going out of tune but I like to float the bridge so I can wobble it back and forth. I imagine you can but wondering if there’s any issues setting it up like that?

Second question. If you simply remove the battery will it be as if the guitar didn’t have noise cancelling and buffering? I can see how people would like it and I might in many situations but I’m not really a fan of the sound of noiseless pickups. Maybe it’s just psychological thing but all the noiseless pickups I’ve played sounded a bit sterile to me. Maybe these will be different but curious if making them work like standard single coils is as easy as simply removing the battery.

oh, and I’m going to sneak in a third question. Is the neck profile similar to the Axis line necks? I really liked the neck on this old Axis sport I had

Thanks!