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In this addendum, we give a differential form interpretation of the proof ofthe main theorem of arXiv:1812.02448, which gives lower bounds of thedimensions of $\pi_k(B\mathrm{Diff}(D^4,\partial))\otimes\mathbb{Q}$ in termsof the dimensions of Kontsevich's graph homology, and explain why it can beextended to arbitrary even dimensions $d\geq 4$. We attempted to make the proofaccessible to more readers. Thus we do not assume familiarity withconfiguration space integrals nor knowledge of finite type invariants. Part ofthis addendum might be joined to the original article when it will bere-submitted to the journal. This is not aimed at giving a correction to theprevious version.

Addendum to: Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$ (homological interpretation)