I agree with the above in that there’s a major fun element in getting to customize characters. That being said, great stories are fun to read regardless of whether or not there’s any CC!
At the end of the day, your story is your work so it’s completely your call.
If you wanted a sort of ‘best of both worlds’ solution, I agree with locking the attributes you find most important. You could even just keep clothing or hairstyles as CC options - that way the readers who want some sort of customization get it, but your characters remain the way you want them.