Oh I don't really disagree with any of that. In both the US and the UK, the interest in staffing and maintaining multi-million dollar high-maintenance summer places (typically in conjunction with multi-million dollar city places) definitely declined over time.
There are still some ultra-wealthy with multiple homes, but there are also probably increasingly options for people to just rent something for a month or two that's a lot less headache with some minimal staff (if that)--or at least have one of a couple of places be as low maintenance as possible.