I think the new version is a net positive value as creates a better "vibe" to prospective patients than just a Google Business listing would, and I expect will age well.
The domain's used for email anyway and is on a very cheap local hosting plan, probably all-in-all like ZAR 84 per month and ZAR 200 per year for the domain, so ZAR ~1200 (USD ~75) per year.
Old website was built in a different era, Google Business didn't exist, "HTML5" wouldn't be a thing for another 5 years, web design styles were completely different and was before iPhone meaning that modern day "mobile friendly" was not even a thought.
When my father started running guest suites over 10 years-ago I made a single page website with essentially the same goals but using a Hugo template. The website still feels "modern" today, so I expect this new one of my mother's will age well too.