Overspined, bungee will only help keep it from slipping down the tree. The seat component needs more pressure than a bungee can provide to sink the teeth in deep enough without any other weight on the platform to resist slipping as you push on it from the sides while maneuvering around the tree. If you use a bungee, when it slips and it will, it will effect your ability to move and it will also make some noise as the teeth crunch against the bark as it shifts. In my experience you won't be able to move around the tree with any confidence that the base won't slip without a ratchet strap. Attaching the ratchet can be tricky while perched on such a small platform though.
That said, if you're able to deal with the issues involved in using the climber seat it can work. All things considered it was just too much of a PIA for me. Sticks and a predator platform is just so much less time and hassle to get in and out of the tree. Plus the predator is a superior platform on the tree vs a climber seat.
I think if you really want to use a climber approach, you'd be better off using the platform base instead of the seat. Its big enough to move around on as you need to make those adjustments and then attach the ratchet. Of course its heavier than the seat, but it will be easier, safer and you'll have more real estate to move around on.
I thought about doing a video with mine yesterday to demonstrate what I'm talking about, but had too many other things I needed to do. As luck would have it though I found 2 videos a couple guys did about this very subject. They were published a week or so ago, not many have viewed them yet, but they are very good at showing the issues using the climber seat.
Part 1 is a guy that is very nimble and version 2 someone not so nimble, non flexible was the term he uses, lol. My experience was somewhere between these two with both adjusting the cam on the fly and securing the strap. Both videos they use some kind of strap to secure the climber seat. I can't tell if its a ratchet or cam buckle though. I used a ratchet.
Part 1
Part 2
Around 8:20 into part 2 you can see where he starts pushing from the sides and you can see the stand flex on the tree. In my experience the more you do this the more the teeth cut into the bark and the loser the seat became and would eventually start to slip. If you pushed from farther out on the platform where you have more leverage then that would strain the connection more easily too. Even with ratchet tension to start, it needed an additional click or two as after the teeth sawed deeper into the bark. To be fair in most hunting situations you wouldn't move that much in the tree, so the sawing effect would be less. But it can and does happen requiring additional tightening, which requires more movement and noise.
In terms of noise, I tested the climber seat on old growth pine, oak, hickory, sweetgum and swamp ash. I have all this on my property so it was easy to do. Of those pine was the noisiest by far. In part 2 he states it wasn't noisy. I couldn't tell either way, but the tree he's on looks like some kind of hardwood, so his experience noise wise jives with mine.
Another thing and I think important, I used a 36' climbing rope in SRT configuration (petzl rig, hand ascender with foot aider) as my tether system, which is all rated search and rescue and arborist gear and technique. In part 2 he uses a somewhat precarious method with the tether and his linemans belt to go off the platform to make adjustments. Too risky for me. With SRT system I could easily and safely go off the platform to make the adjustments then ascend back up on the platform to continue. When descending I just went off the platform, disconnected it from the tree, dropped it on the ground and lowered myself down on the climbing line. Very easy and very safe. SRT requires more equipment and it can be noisy if you're not careful, but I'll take safety over noise every time.
Also, using SRT system as my tether I have the option to descend but leave the climbing line and platform in the tree. Then for whatever reason re-ascend on the rope without having to go through all the hassle of climbing with the seat again. Or take everything down and move on.