Can SQL kernel output other MIME types besides a Jupyter widget?

[thomasjm]

I see that the SQL kernel outputs its data only as a MIME type application/vnd.jupyter.widget-view+json, which corresponds to a Jupyter widget.

Jupyter messages from other kernels often appear with multiple MIME types to allow different display options--for example, a Pandas dataframe by default comes with text/html and text/plain.

I'm wondering if the SQL kernel can be configured to output any other raw data formats? I'm especially thinking about the Tabular Data Resource format, which would allow the data to be consumed by the nteract Data Explorer.