Before revision:  Our key observation is that the general approach from [Heid & Wihler, arXiv:1808.04990v2 ] satisfies an energy contraction property in the context of (abstract) strongly monotone problems.
After revision:  Our key observation is that the general approach from [Heid & Wihler, Math. Comp. 89 (2020), Calcolo 57 (2020) ] satisfies an energy contraction property in the context of (abstract) strongly monotone problems.