The Anglo-Russian Entente of 1907 affected the way Asian nations relate to the world today, The creation of borders by the Russian and English governments helped end years worth of battle over territory and goods. Creating borders brought respect, and for many Central Asian people, produced an understanding of how their countries fit into the political persuasions of the world.
Yes, I think that the Anglo-Russian Entente of 1907 affected the way Asian nations relate to the world today, because the confrontation settled the ongoing conflict that upset the region. In the Entente, the major powers in the region decided that a collaboration would be more beneficial to an ongoing conflict. Anglo-Russian relations settled and improved matters for the Asian region.
People should study the Anglo-Russian Entente more. There are histories of fighting in the East, the Orient. Russia fought China over some things, and then there was also this Anglo-Russian Entente. It was clear that there would be a winner, and it was not a large war, but perhaps a "small war" , but enough to symbolize mistrust of the west.
The relations that the West has with Asia today has been shaped far more by the events of the Second World War than anything before that. While this issue may have been big in 1907, China and England (and the US) were allied with China and Korea during the 40s and 50s.
No, this event did not have a large impact on the way that nations in Asia relate to the world today. A huge number of events have combined to make the way Asians relate to the entire world today, and one event did not have a very large impact on it.