I would speculate that bringing too much attention to pence will weaken efforts to get Trump to resign or be impeached.
Pence is a very strict social conservative, perhaps frighteningly so. If Trump’s detractors learn what would be in store for them with a President Pence, that might make them pause. It worries me when I review his record as Governor of Indiana.
From the nevertrump crowd, Pence is preferable, rather than the mix of dem and gop principles you get with Trump.
So neither the media, nor the nevertrumps in the administration have reason to draw attention to VP Pence. Doing so has no advantage to reaching their goals.