We've had some emails from them as well, but we still assume it's our responsibility to check the rates weekly, based on the fact that at least one rate change has come into effect with little more notice than that and nobody (including HMRC) actively notified us first.

Publishing the rates is certainly better than not publishing them, but unless that information is updated in close to real time so it picks up those short-notice changes and unless it's supplied in a machine-readable format so that you can use it as a basis for automatically calculating correct VAT at the time of sale, it's of limited value for anything other than spotting mistakes retrospectively.