After world war one, were countries entirely dependant on the continued involvement of the united states in terms of world affairs and organizations?

That could definitely be argued! The WWI was fought in Europe, so many European countries were left in pieces at its end. So they were definitely in need of outside support. One may also look at it from another point of view. The US refused to join the League of Nations, which shows that the country was not necessarily as involved in world affairs as it could have been.

Demanding and vortices