For any connective E2-ring R with R_Q ≠ 0, the ∞-category of R-linear localizing motives is not compactly generated.
On the Blumberg--Mandell K\"unneth theorem for TP
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$\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated
For any connective E2-ring R with R_Q ≠ 0, the ∞-category of R-linear localizing motives is not compactly generated.