https://www.loveskirting.co.uk/flooring-thresholds-c17/by-product-c29/ramp-section-c43/solid-oak-ramp-section-threshold-0-9-metre-p121

LVT would get my vote. Easy to clean and you can use a steam mop on it too.

Is does seem that the lesser known brands of LVT are the same thickness and same warranty as the major brands- the difference seems to be the colour choice and size of marketing budget. So as long as you like the colour choice with another brand then I think the cost saving is worth having. Separately the issue with herringbone over an expansive area is making the pattern meet up- generally a competent fitter will have no problems- I wonder if the issue is that you aren’t actually looking at LVT but instead floating floors (click together floors as opposed to stick down to the screed). Floating floors need to expand and over a large sized area can need an expansion strip adding which looks fine if you can add it to a doorway but looks odd in the middle of a large room.

Rinked, I also considered that, but the table and chairs would block access to the back garden. The front extension would significantly block most of the south-facing light in the living area, the back double doors, are north-facing so they don't bring in any light. So while I agree that you need some sort of entrance into the home, The front extension is a mistake in my opinion. In regards to the comment of keeping the passage, yes it's good to have, however, soo many people who live in terrace houses don't have that option and I don't see that as a significant issue.