The Commonwealth has slowly been losing effect and cohesion. A meeting is planned to discuss commonalities, with UK and India possibly the organizers.
Canada has more in common with its fellow NATO members, and Australia and New Zealand (and Pakistan) are more involved in SEATO. South Africa re-entered the commonwealth in the 1990s, more in relation to sport than economic or aid issues. In other words, these members with strong economies tend to offer only token or verbal support to Commonwealth problems.

As noted above, Ugandan oil is more the province of major oil companies of Italy and other EU countries.