Yeah. As said, the droprate with or without trading would have to be very different from one another.
Not a 1000 times (there is a transaction cost factor in trading), but very different.
Also, it is unrealistic to make non-trading exactly as efficient as trading. Trading is simply too efficient for that to happen. So it is okay if trading is a little more efficient.
Some would, some would not.
Having two modes would be the best outcome here.