I've been to many Catholic locales, and there are many poor Catholic artisans who would be willing to create beautiful Catholic art if they had resources. I'd rather they get the resources, than some secular artisan simply trying to copy Catholic art.
I would rather see resources go to actual Catholics to be used in an actual Catholic place of worship that is frequented and populated than to non-Catholic artisans attempting to mimick Catholic beauty to restore a building that is not actually used.
The fact is that the well-loved parish stands a chance of becoming a Notre Dame of the future, whereas, Notre Dame itself is likely to fade away and become a museum, unless the people of France actually decide to become Catholic again.
The truth is that, it was the underlying belief in the Catholic world view that made Notre Dame the legend it is today (the constant creation of beauty, the grandeur, the preservation through the ages). No amount of money to secular authorities can possibly recreate that exact mythos, whereas it could if sent to another diocese that still practiced.
EDIT: perhaps I'm wrong and Notre dame is more active than I thought and I just visited at a bad time, but from what I've read, there's not many actual Catholics in France, at least when compared to California.
It’s also a miserable stance to take while the place is still literally on fire.