The same can’t really be said of the Astutes with greater risk of support issues given the much smaller UK Astute fleet and that it’s intended production run and service life re: the UK will end rather sooner. And given the small size of the UK Astute fleet and the pressing demands closer to home likely that any UK Astute visits Australia will be rather more infrequent and briefer than their US equivalents.
While the British have largely been absent east of Suez since joining the EU, they have long standing commitments with Australia, Brunei, Malaysia, Singapore, New Zealand, and the United States in the Pacific. Now, having left the EU, and the increase in security concerns, there is a likelyhood of a return to greater cooperation, and a more persistent presence, in the region. I posit that we have seen the first three steps in that direction this past year.
The Queen Elizabeth Carrier Strike Group traversing the South China Sea loaded with UK and US F-35Bs then conducting big deck drills with US and Japanese carriers I view as the first tangible step. Building an aircraft carrier is a feat. Having friends from a large number of countries meet you halfway around the world to perform complex interoperability excercises is power projection on an entirely different level. This was not a one-and-done.
The AUKUS agreement is the second. While each of the three countries enjoy special relationships with one another, the closeness of the UK/US submarine cooperation cannot be overstated. This relationship and (IMO) the return of the UK to the Pacific in a meaningful way, necessitated this agreement. I view AUKUS as an extension of existing US agreements with Australia to now include the UK and eventually provide support for interoperability between UK, US and Australian military assets in Australia - including submarines.
The Reciprocal Access Agreement with Japan signed by the UK in May (and by Australia in January) is the third. By removing (or at least simplifying) legal and logistical barriers, providing access to one another’s equipment and facilities, training and deployment challenges can be prepared for and mitigated. This will allow greater ease for more frequent UK deployments to Japan.
These agreements require a tremendous amount of effort to attain. The Australian RAA with Japan has been under negotiation since 2014 for example. I don't expect the UK has made these committments for infrequent and brief visits.
But we shall see what we shall see.