Now, if they'd tried to do that, maybe it wouldn't have worked out – but it appears Australia/UK/US never tried, they did all of their negotiating completely behind closed doors, without telling France what they were doing, and then presented it to France as a fait accompli. If they tried to include France, and the discussions had broken down, France still would have taken it better than the current situation, where Australia/UK/US made no attempt to include them.
France is officially an important and long-standing formal ally to the US and the UK through NATO. Australia and France do not have a formal military alliance, but had been describing each other as "strategic partners". I think the way Australia/UK/US went about this has caused unnecessary damage to their relationship with France. They could had arrived at essentially the same outcome in a way which caused far less damage to that relationship. Viewed in that light, I don't think geopolitics is very relevant – whatever the value of France as an ally or partner, needlessly offending them is just stupid.