Um, shells on a ballistic arc from over the horizon are irrelevant to naval battles. Simply put, when both platforms are constantly moving, it's practically impossible for ships to hit each other at range. The only way to achieve hits are to seperately disable the other ship's propulsion and steering, or get extremely close (i.e. inside LoS). You simply can't hit a ship from over the horizon with a ballistic projectile.
There was a day-long gun duel at range in WW2 where neither side managed a hit. There's a reason all the gun ships went away, and we depend on planes and missiles now. Guns simply don't work anymore.
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