I've had several old boxes of Accubonds that did the same thing. It should only happen with older, vintage Accubonds.
Nosler was aware of this problem when I contacted them a few years sgo, and replaced my bullets with newer product. I was told they determined it was caused by corrosion associated with their bonding process. Some corrosion byproduct of bonding the lead core to the jacket. As corrosion formed under my plastic tips, the tips were pushed up out of the bullet.
Since Ballistic Tips aren't bonded-core bullets, this problem should not affect Ballistic Tips.
Nosler either added a corrosion neutralizing step to prevent this longer term corrosion with the Accubonds, or changed their manufacturing process in some manner, to resolve this problem. It takes a while for the corrosion to build up under the plastic tips. That's basically what I was told by Mike, the Nosler staff-person I talked with on the phone.
It shouldn't be happening with recently manufactured Accubonds. My boxes of Accubond bullets that lost some of their tips were more than 15 years old. One box had been sitting in my reloading room for ~20yrs before I opened them and found multiple deteriorated tips and tip-less bullets.