The conditions under which you might hear a difference are going to be extreme.
The volume will have to be very high and the room very silent. And even then, you would only hear a difference if the studio recording actually managed to use past 16-bits.
Because this question comes up once in a while, I've added a bitdepth simulator to v18 to let people test what different bitdepths sound like. I was just playing around with it, and for example I can easily tell 12-bit from 13-bit in the somewhat noisy room I'm in. In gets pretty tough after that. In past testing, I could only hear the difference between 15-bit and 16-bit in the most extreme testing (fancy headphones, silent room, eyes closed, very loud volume, focusing on the noise floor, etc.).