On this point, here's a plot of total cholesterol from lipid kits measured by a clinical biochem lab in Birmingham as part of lipid EQA. There's 'assay' level variation in lipids that clinicians do not even think about as they use LDL etc for risk assessment (!) https://journals.sagepub.com/doi/10.1258/acb.2007.007120?icid=int.sj-abstract.similar-articles.3
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Anyway, I think the problem with PRS is that (in contrast to LDL-C) there's no "true" risk that just needs to be measured better. Variability is not only technical. It's also which GWAS/method is used etc.
(But it's certainly a serious clinical/practical problem.) 1/3