When FOO is spotting is there a higher hit rate?

[Warmonger]

I'm playing a scenario with 2 FOOs, B0 and S2. B0 has an artillery command factor of 58, S2's is 65. When B0 calls in fire on a new target there's a delay of 3.0, S2 calls in with a delay of 3.3. Based on their artillery factors I would expect the opposite. Does their position in the command hierarchy affect the delay?