You are right that as sample size increases, the ability to resolve increases, and you are able to split hair if you have huge data volume. Regression with multi-million records are being done routinely, something that's just not imaginable not that long ago. At some point one need to stop asking only statistical significance (is it really there or not?) and start asking context significance (so that 0.00001% difference is truly there, so what?). Ruth's point #4 last sentence is absolutely bang-on.
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