SSD company says ... HDDs will be completely obviated in the same timeframe
No one said that. They said that the price of NAND based storage will drop to be competitive with HDDs, but I suspect that there's an unspoken assumption there of HDDs staying static... in other words, NAND storage in a few years will be equivalent to the price per GB of HDDs now.
Even if NAND storage reaches price parity with HDDs, there will probably remain markets for both, since they have different performance behavior for the lifetime of the device, sine NAND cells will die over time. On the other hand, if the price drop is significant enough to make NAND approach optical media in terms of price per GB, we might see the return of cartridge based game consoles, and the death of long load times and waiting while the game is copied to the console internal HDD.