How can you call the Holocene stable when, in the same post, you refer to the Little Ice Age lasting into the 1900s - and which was preceeded by the Midieval Warm period?
During the Holocene, there have been several warm-cold cycles with a periodicity of around 1500 years. The cold phases have been relatively abrupt, and each lasted several centuries before an apparently rapid switch back to warmer conditions.
If you want to call that stable, then temperatures today are stable, too.
Despite minor variations like the LIA and MWP and 8200 year event and Holocene Climate Optimum, the Holocene has had unusually stable temperatures for an interglacial. Compare to the other high temperature periods shown in the plot.