Counter-battery fire (found on page 153 of the sixth printing of Tactical Operations: Advanced Rules) allows any form of indirect artillery with sufficient range to target the abstract hex that an off-board artillery platform resides in. No ammunition restrictions are provided, though obviously many munitions (homing, smoke, FASCAM) won't have a meaningful effect.
Inferno-IVs (found on page 168 of the sixth printing of Tactical Operations: Advanced Units & Equipment) set Inferno fires on all hexes in a radius of 1 around where it hits. In addition, any unit currently in those hexes is affected as if struck by five Inferno SRMs.
The SRM effect is straightforward, but the Inferno fires are not: does this mean that the off-board artillery is treated as staying in an Inferno fire until it disengages?