We walked from the middle of Capri town to Villa Jovis, Piazzolungo/Natural Arch, Gardens of Augustus, Charterhouse of San Giacomo and some other locations without any issue. Other than a short bus ride up there, we also explored Anacapri easily on foot.
"What's so special about the walk or is it the destination, Villa
Jovis, or both???"
Did you read the info in the link?
https://www.capri.com/en/e/the-villas-of-tiberius
For us, it was about the walk AND the destination. If you get partway there and decide it's too much walking for you, you can always turn around and re-trace your steps. The view from up there is great, though.Take water and wear a hat. Let's just say that it's a notable chapter in the island's history, if you are interested in such things?
https://en.wikipedia.org/wiki/Villa_Jovis