No, it won't be. That's literally the point. Publishers have viewed the second-hand market as craven scalpers for decades. Companies like GameStop make an absolute killing selling the same used disc 3 or 4 times at $65/ea than selling new for $70 once.

Every few years there's a new and more aggressive push to limit what people can do or get with a trade-in. It's why pre-order "bonuses" have gotten to be such a big deal, why live-service games got such a huge push, and now why Sony is eliminating physical media. They think cutting the resellers out means they'll get more customers, not that less people will play their games.