God's number for the 3x3x3 Picture Cube

Question

I've a small question.

I've read that God's number for the regular 3x3x3 Rubik's cube is 20 and in quarter-turn metric it's 26.

Here are some links:

1. https://en.wikipedia.org/wiki/God%27s_algorithm
2. https://ruwix.com/the-rubiks-cube/gods-number/
3. https://www.cube20.org/

Numberphile Videos: Rubik's Cube on Numberphile

Then was wondering; are the numbers different when considering orienting center pieces on picture cubes?

My first instinct is that God's number in that case would be higher, but really; I have no idea.

Any insight, links or feedback will be appreciated.