We too have a sextant onboard and use it little. We've travelled halfway around the world using $200
handheld gps's. We only pull out the old $1,500 (you may wish to find a different supplier) sextant, which we happened to find before our voyage started three years ago, new, for under $500; when we want to exercise our brains and watch the magnificent offshore night sky.
What I find truly amazing on reading your post is that people are still sinking a bunch of money into these ancient vessels we call boats, when the technology exists to create the same virtual experience in front of the computer screen. I suppose there will always be people who just can't let the past be the past, and I hope I will always be one of those people.
On the practical side, the sextant requires three links in the chain: me, the stars, and the optics. It kind of boggles the mind to think of how many links there are in the
gps system, and worse, how many vulnerabilities might exist there. Its worked so far for us, and it will probably continue to work, but I just don't care to rely on it completely.