Git's config core.pager doesn't respect color.pager

I'm seeing a problem with git. It's easier to demonstrate than explain. The relevant parts of my .gitconfig:

[core]
	pager = tig

[color]
	diff = auto
	pager = false

tig is a console-based git client that can also act as a pager, colorizing git output.

So, with the above config, when I do:

git diff | tig

Everything works correctly - git sends no color codes, because of color.pager = false.

However, if I do just:

git diff

git uses core.pager to display the output, but still sends color codes, which is OK for, say, less, bit not so good for tig, which does it's own colorizing, and displays the color codes git sends as-is.

Shouldn't core.pager respect color.pager, and not send the color codes?

Benjamin Kudria