All of these papers describe
different molecular mechanisms -- underscoring the fact that this is not an established phenomenon -- and most are trying to apply some level of rigor to a term that has no definition. The very first link makes it clear:
> In this Viewpoint article, 18 experts in the field tell us what exhaustion means to them, ranging from complete lack of effector function to altered functionality to prevent immunopathology, with potential differences between cancer and chronic infection.
Also, the final link explicitly rebuts your claim:
> However, because CD8+ T-cell exhaustion is not evident in patients with COVID-19, it is assumed that COVID-19-experienced individuals successfully develop functional CD8+ T-cell memory following vaccination. Recent studies have reported that a single dose of mRNA vaccine robustly induces spike-specific T-cell responses in COVID-19 convalescent individuals [131].
> whether the differentiation state and transcriptional profiles of functionally impaired CD8+ T cells in respiratory viral infections are similar to those of exhausted T cells is not clear.
> In addition, the differentiation dynamics of CD8+ T cells during the course of COVID-19, particularly whether SARS-CoV-2-specific CD8+ T cells become exhausted, remain enigmatic.