These were the seeds that were paid forward into the next hundred plus years (and right to our time) along with the hope awakened among ordinary folks and citizens for better days and more equal distribution of resources and opportunities. The shoots which sprouted would feed forward both openly where they could, and under the surface in states which maintained repressive, anti-democratic governments. These were the streams that would run forward to Karl Marx, Bukharin, and a host of others to engender the Socialist International, the trade unions movement, the powerful thrust by the bourgeoisie (middle class) to win its way to power and open the doors for all to be free and to fairly try their chance.
The links from the United States and France were close and multiple, including inspiration at the beginning and ongoing sympathy as the USA hoped to see a sister republic emerge as a great power in Europe, and thus challenge the British so that Britain would not consider attempting to restore its old empire. The War of 1812-14 between the United States and Britain was a direct offshoot of the long struggle between Britain and France in Europe.