There's one important thing to flag. The hotel's listing advertises free on-site parking, which was actually one of the reasons we chose it. A few days before arrival, we got an email letting us know that the hotel is in a restricted vehicle access zone, and that parking is actually a 10 minute walk away. When I wrote back pointing out that this wasn't what was advertised, I was just told that the hotel is in a restricted zone as mosts hotels in Matera, which I of course completly understand, but doesn't change the fact that the listing isn't accurate.
So: factor this into your budget — the shuttle to the parking lot costs €15 per trip. And if you're thinking of just walking instead, it's just 10 minutes but it's uphill with a lot of steps, so it's very hard with luggage — fine if you only have a backpack or hand luggage.
None of this would stop me from booking again or recommending it — the hotel itself is excellent and one of my favorite stays of the trip. Just go in with the right expectations about parking.