After spending a lot of time with Naval Ranged units during this game, I'm coming to the conclusion that Targeting + Logistics is better against cities than Bombardment + Broadside in most circumstances, which means that Targeting is better than Bombardment in almost all circumstances.
As a refresher,
Bombardment gets:
Bombardment III = +15% ranged combat strength,
OR 60% against cities.
Ironsides = I think this works out to full combat strength at all health values?
Also given by the Imperialism Finisher.
Shrapnel Rounds = 50% ranged combat strength against land units, for a total of 65% against land units.
Broadside = +40% ranged combat strength against cities, for a total of 100% against cities.
Targeting gets:
Targeting III = +30% ranged combat strength against land and naval units (ie. all units but not cities), +30% against units below 50 hp (note that this doesn't seem to be 50%, Dreadnought ships have an increased threshold before this takes effect).
Indomitable = Immune to boarded, +25% combat strength when defending.
Logistics = -30% ranged combat strength, but can attack twice.
Splash Damage = deal 5 damage to adjacent enemy units in range.
It looks like
Broadside ships have more than double the combat strength against cities compared to
Targeting ships (+145% difference, in fact), but remember that this doesn't mean that they'll do double the damage. Because of how combat strengths interact, this happens instead:
interestingly enough, here are what the combat values show after all attacks have been expended:
So, in this example, at the expense of 1 move, a targeting ship will deal ~50 damage to that city, while the Bombardment ship will only do ~42. The targeting ship can also be used to hit land and naval units
twice at +0% (+30% if below 50 health) vs Bombardment's 15% against naval and 65% against land.
Two possible counterpoints:
in this example, the Logistics Targeting ship is supposed to only be doing 12 damage to the city, but it is somehow doing double that (bug that needs to be reported). Interestingly enough, 65 combat strength is too high and 32.5 is too low. The Logistics Targeting ship should be at 60 combat strength against cities:
Code:
50 * (1 + 0.15 + 0.1 - 0.3 + 0.25) = 60
- Logistics Targeting ships benefits extremely well from external modifiers: Statue of Zeus, Conscription (Authority), Great Admiral, Regimental System and the Imperialism finisher giving it Bombardment's Ironsides. Bombardment will do better compared to Targeting against cities for Civs who don't take Authority and Imperialism.