The warming trend within a stable interglacial driven by changes in atmospheric gases is dissimilar from the operative processes affecting glacials and interglacials.
As for the Medieval Warm Period, no one disputes (even the skeptics) that the current temperatures are at least as warm globally as the MWP, and that the currently observed warming trend exceeds the warming trend into the MWP by about 3x.
Here you go again...:
"no one disputes..." - You sure about that? You have read and researched every scientist's paper on this issue? I think not.