My job offers lots of creative flexibility, but is inflexible (relative to past jobs I've had) in every other possible way.

Now, I am sure most parents would have advised their children to wait it out and let the baby tooth fall out naturally.

Take this with a grain of salt, but it's worth considering (at least a tiny bit) that the body behaves in certain ways for an evolutionary reason and short-circuiting normal/natural things could have unintended consequences.

e.g. Staying on the dental theme, if a jaw develops naturally (lots of chewing through adolescence via (unprocessed) chewy and relatively tough foods coupled with good nutrition), wisdom teeth remove gaps as the jaw grows to its adult size. Most of our jaws don't develop to full size so we end up with impacted wisdom teeth, or they cause our teeth to crowd rather than straighten, and we have them removed.

I wonder if there might be a point to letting baby teeth giggle and find their way out on their own - perhaps communicating tooth positioning to the body. Or, the pain might discourage putting pressure on that area of the gum/jaw while the adult teeth move into position.