I have thought about this question a lot.
Financially, it would give France a few more years, if they don't get involved in other wars (a big if). However, I'm not sure this would make much of a difference. The reason they called the Estates-General was because they'd been on a bad trajectory for a while and every other political institution had been tried. This isn't changing, so we'll likely get the Estates called in the late 1780s/early 1790s whatever happens.
However, there is another causal link: the American revolution showed the French people that popular violence could be successful against a powerful government. There were times during the French revolutionary timeline where it was really the mob setting the agenda: the Day of the Tiles, the Storming of the Bastille, the Women's March on Versailles. It was a real turning point in European reformist thought: previously leading thinkers always believed that progress could only come from benevolent powerful people. If there was less belief in the potential of this sort of popular action, the crowds could be smaller and less successful. That could have all sorts of butterflies.
If the Day of the Tiles didn't happen, there would not have been the precedent of double representation of the Third Estate. That means the Third Estate wouldn't have any advantage in calling itself the National Assembly, no Tennis Court Oath, etc. I imagine the likely other path is that the First Estate, particularly the lower clergy, would prove critical in playing off the Third and Second Estates off against each other. The likelihood is that you'd get a fair amount of social reform, but the Church would play a central role in the revolution and it would move in a more devout Catholic direction, perhaps similar to Egypt today.
If the Storming of the Bastile did not happen, you would likely not have the flight of the emigres to Belgium. That means no Declaration of Pilnitz and no French declaration of wars. The revolution could have stayed confined to French borders.
If the March on Versailles did not happen, it would likely lessen the rise of Robespierre, and the revolution's turn towards state terror.
Are there any other major incidents of mob rule I've missed?