Can you hear them on the screen or is it silent there too? And what device are you using? The only character who says the name is Cove and he only does it sometimes, like once per Moment rather than all the time, so it's possible the names are working and you just haven't gotten one of the times where it's said in-game. But if you don't hear them on the screen either that generally means the DLC files aren't in the right spot.
Viewing post in Our Life: Beginnings & Always - Voiced Name Expansion comments
I'm playing on PC! I can see the voiced name being said, but it isn't spoken aloud. The only thing I can think of is that I originally started a file with Jamie and then got the voice DLC right before step 2. I did exit out of the game while doing this, but maybe because I already had a save file it doesn't update? I heard him say Jamie in step one but ever since I haven't heard him say the name (I picked Skye if it matters). I'm currently on step 3. Once I finish and start a new save I'll see if that fixes it.
Just so I make sure I did it right though, I just need to copy and paste voice_name_dlc.rpy and voice_name_dlc.rpyc, not go into the voice folder and manually copy/paste all of the names?