4K WebView support in Android 6?

Pardon if this has been answered elsewhere. A “search” (here and in Google) didn’t seem to find the answer.

In Android 5.1 (latest Shield version as of 1/24/2016), specifying 4K in the HDMI setup for the shield does not give me 4k resolution in a WebView (Chromium). Chromium still reports HD resolution. This is consistent with what I’ve read (the WebView is scaled up).

Does this change in Android 6.0? The docs suggest that an app can set the preferred display mode to request 4k support, but it doesn’t say whether an embedded WebView will then behave accordingly (i.e. also be in 4k mode).

Does anyone know the answer to this question?