Britain and both France were jockeying for an alliance with Russia, and it seemed that by Catherine II's reign that France was more successful. France had traditionally supported the Ottoman Empire, but after the diplomatic revolution, with the Austrian alliance, there were attempts by the Austrians to get France to agree to an attack on the Ottomans. The French evaluated the Ottoman defences during the period and found them to be in poor shape. Hence there was the thought that France should get the spoils of Egypt, Syria and Cyprus the empire's inevitable collapse. Spain and Naples too along with Genoa and Tuscany were seen as powers that might want to join in an eventual carving up of Ottoman holdings in North Africa. Mostly because they faced the onslaught of attacks from the Barbary pirates. Indeed Spain had sent expeditions against Algiers during the period, with the most notable being in 1783.
The Russians and Austrians for their part wanted to partition the Ottoman territories in the Balkans with Russia taking control of the Bosporus. Had the revolutionary wars not occurred in 1792, both powers might have gone after more territory than they did in the Treaty of Jassy.
The British too seemed to think that the Ottomans were too weak to defend themselves and were concerned of whether or not they should go to war over the Ottomans. The British formed the Triple Alliance in 1788 with the United Provinces and Prussia. William Pitt (the Younger) wanted to pursue a hard line policy against Russia, so the Russian Ambassador in London began bribing the opposition. The Dutch were unwilling to go to war, as they were extensively invested in the Russian Empire, particularly holding treasury notes. Sweden went to war with Russia in 1788, but this too was resolved by 1790, so they were out. Only Prussia wanted war, and it seems that they wanted to make gains in the Baltics.
Perhaps an earlier war in the 1770s would have led to a situation where France, Austria, Russia and Spain were at war with Great Britain, Prussia, the Netherlands and possibly Sweden. Such a war might have effects on events in America. For instance, if there is fear of a French attack, the settlers might be more likely to support the British Crown, whereas if there is still a revolt, the French and Spanish will aid them.