Monochromatic homotopy theory is asymptotically algebraic

In previous work, we used an ∞-categorical version of ultraproducts to show that, for a fixed height n, the symmetric monoidal ∞-categories En,p-local spectra are asymptotically algebraic in prime p. this paper, prove analogous result Kp(n)-local spectra, where Kp(n) is Morava K-theory at n and This requires tools suitable working with compactly generated non-compact unit. The equivalences that produce here compatible ∞-categories.