You’re “tapping a permanent for mana” only if you’re activating a mana ability of that permanent that includes the symbol in its cost. A mana ability produces mana as part of its effect.

The types of mana are white, blue, black, red, green, and colorless.

Kinnan doesn’t care about any restrictions or riders the nonland permanent put on the mana it produced. The additional mana Kinnan produces won’t have any restrictions or riders.

The additional mana is produced by Kinnan, not by the nonland permanent that you tapped for mana.