Why Not Run the Efficient Global Optimization Algorithm with Multiple Surrogates

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Model-based methods for continuous and discrete global optimization (2017, background): “Haftka [118] observe that an improved global accuracy of the surrogate is not necessary for obtaining the best result.”
Managing computational complexity using surrogate models: a critical review (2020, methodology): “To address this problem, (Viana et al. 2010a, b, c) proposed an algorithm for adding several points per optimization cycle based on the simultaneous use of EOS.”
Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling (2012, background): “In addition, for real applications, refinement by adding a single sample point per refinement cycle is inefficient; refinement by adding multiple sample points per cycle [41–43] is thus a subject of future research.”