I thought we were talking about geopolitical influence here as well? I mean the EU has geopolitical influence precisely because the 27 members, plus a few extras, actively work together, hence they set the regulatory agenda for much of global commerce. We're outside that now, and this club doesn't have the economic clout of the EU, either due to its limited size or the geographic proximity issue that gets "repeatedly" ignored, and it certainly lacks the economic clout of the US or China.
There may well be an argument for the Pacific region being the next growth engine, but the reality is that this means China, which is obviously not part of this club. This is reflected in Australia's trade with the region, which is $123bn with the ASEAN region, $88bn with Japan, and $235bn with China. Obviously more trade is more trade, but given we already had trade deals with Japan and is negotiating one with Australia (and the UK has one already), then it's not immediately clear just what this brings us apart from some tub thumping and flag waving from the usual suspects.