Thanks for all that! Some interesting suggestions, including converting an old road frame to 650B, and going tubeless. I have tried tubeless on a recumbent, and it was comfy, but that particular setup made me uneasy about tyre security, plus the sealant could be messy!
I'd actually got in touch with Richard Hallett as I saw he made that style of bike. It's early days, and I don't have enough idea of what I want, but as you say, it appears there are bikes which look vaguely similar but which have different geometry and handling characteristics. I think Richard mentioned that his variant has handling more similar to a regular audax bike, and can accommodate both rear and front loads. He suggested that traditional French bikes could be more prone to understeer.
It looks like modern Rene Herses are available, at a cost, then there are makers such as Gilles Berthoud - again, probably very expensive.
I've seen a few videos from a guy who owns one made by a small-town American builder. His bike looks great, and he mentions it having lightweight tubing. The fork blades have that pronounced curve, and he also mentioned them having quite a lot of flex, adding comfort, but not at the expense of tracking and stability. I suppose other bikes can cover similar territory, but it seems to be a bike which rolls well with its wide supple tyres, is comfortable, relatively light, and able to carry a fairly substantial front load. It's the sort of bike I could use for everything from short utiilty rides to audaxes, and all year round, too.
I'm not particularly enthusiastic about buying a custom frame from the USA (I've had less than stellar experiences with guitars and another bike). However, I suppose any custom frame is a risk, especially if it's of a design which is different to one's other bikes. It might be okay if it's someone who specialises in this type of build, and who has a good reputation.