Those are still rather on the short side (IMO). By top metal, most guns range to 600-700m, carronades rather further (albeit needing to use the graduation of their notched dispart sight for intermediate ranges.)

Long range fires can still be pointed with reference to the masts to ~1200m, perhaps further. Outside 1200m fires become very random. Unless, you have conditions suitable to low angles of fire and ricochet, where the shot will carry with 'good' line to up to 3000m without rising above the hull. Coastal batteries are often sited with a roughly 1 mile range in mind and sited to give ricochet fire, while being sited too high to receive ricochet from vessels.

Effectiveness is usually higher close in, bnt not by as much as the 'raw' increase in hitting space and penetration might suggest, as there is a desire to 'point' and to use reducing charge conditions at shorter ranges - first smaller charges, later double shotting etc, from the 'distant' charge range.

Smaller guns don't carry enough velocity to long range to be a meaningful threat - but larger guns and the heavy carronades will stretch their effect sufficiently far to cover these longer ranges with full charges.

British 'short range' practice tended to prefer sighting by quadrant/quarter sight (their PB wasn't any of the definitions of PB in use anywhere, but was a bastardised version of several - the range for which shot fired level strikes the water, lifted by a small angle which is suitable for raising that range to the approximate horizontal, and sometimes then re-stating the higher range to the water ~ which is a very odd of defining something which can be placed at various different heights... French But en Blanc is far easier to comprehend, and was continued into the age of sights - the far distance at which the trajectory intersects the line of sight, through a mark on the breech-ring (or top of tangent sight) to the mark on the top of the muzzle swell (or with the short tangent scale a mark on the top of a dispart mounted near the trunnion/reinforce (the muzzle masks the line of sight at higher elevations, and a longer tangent scale is issued which works against the muzzle swell).

Carronades and field and coastal guns with tangent sight equipment could be pointed to 'several' or 'many' discrete pointings with the service charge (or any suitable reduced charge for special purposes), while the standard naval gun was pointed by one line of metal, and up to 5 discrete charge conditions, which allow a spread of ranges along this single 'direct' line of sight. Laying by quadrant requires more 'luck' - the correct range needs to be estimated, the correct quadrant for the combination of heeling angle and necessary superelevation of the piece, the correct instant of fire without a visual sighting on a vessel which is moving with the sea (not applicable to coastal guns).

The ballistic performance of the AF 32pdr guns is sufficient to give fire to ~1250 to 1500m by the short tangent, and 2350m by the long tangent... and while the absence of sights does limit the 'Napoleonic' era firing - direct pointing can cover from ~1200m to the top of the mast (intending to fall to the hull), 560m by direct pointing to a discrete point at distant charge, 500m with full charges, 415m with reduced charge and 180 to 265m for the reduce and double (btm/top shot), all MPI, for average shot, and with powder equivalent to Ponte de Buis. Later guns (and French guns) have more taper built in and will range a bit further, with less hitting space and penetration. Carronades have much more taper, and will carry to 700-800m by their line of metal, with intermediate steps on the dispart giving 'discrete' aimpoints during the Napoleonic era, later also replaced by tangent sights on the breech ring and simpler reinforce (and for long scale) muzzle tube dispart blocks.

For guns, the effective combination of hitting space, momentum lost in penetration of a 'thin' side combine to give a 'flat' performance between the range for distant charge and the range for mean performance of double shot. The individual charging conditions have a falling hitting space and penetration (which can combine with an increasingly 'substantial' hull side to 'lift' the collapsing effectiveness near the maximum range for an expected penetration. 'Single charge' weapons such as carronades will have the same 'falling' performance, very effective closer in, zero 'flat' and falling effectiveness further out. With carronades and the faster of the two 'reduced, double' shot having similar performance for the same size of shot, but larger shot being very much more effective than smaller shot (12pdr gun is at best only barely reaching the effective performance of a 32pdr carronade, and is usually hitting less hard and less effectively (if somewhat more often, which only partially makes up for weakness of fire)).

Note that in 1804 the OB required all broadside QD/FC guns of 9pdr and 12pdr to be replaced on line ships and frigates with 32pdr carronades (24pdr if the 9pdr equipped vessel cannot support the heavier type) - and while this was partially reversed for 'inboard' carronades in the wake of rigging in 1806, the change of mounting and modification to rigging details saw a nearly total replacement on these lines into the 1820 and 1830s as sights were mounted to extend ranges of accurate fire. The French went further, with the complete replacement of 12 livre guns and smaller on ships of the line - with 36 livre iron carronades, and 18 livre chase guns - for a 120 gun ship, this is 50 carronades, an increase from the prior establishment of 16 carronades on the gaillards and 34 12 livre guns.