This was already settled....

Read a little further down the page to find: "High-Velocity Air Guns - Restricted to those that use a single ball or pellet-like projectile. Additional restrictions on the use of air guns are the same as those for rifles and handguns.".......

Same rules for 500' apply to air guns while hunting.

Firearms Hunting
The holder of a firearms hunting license may use rifles, shotguns, muzzleloaders, handguns, and high-velocity air guns subject to certain restrictions.

500 Foot Zone - It is prohibited to hunt with, shoot, or carry a loaded firearm within 500 feet of any building occupied by people or domestic animals, or used for storage of flammable material, or within 250 feet of such buildings when waterfowl hunting in tidal areas from land shooting positions or from floating blinds anchored adjacent to land or from rock positions, unless written permission for lesser distances is obtained from the owner and carried. Landowners, their spouse, and lineal descendants are exempt from this restriction, providing any building involved is their own. The 500 foot zone does not apply to bowhunting.
Firearms in Vehicles - It is prohibited to carry a loaded firearm in a vehicle. Does not apply to persons with handguns who have a valid Connecticut permit to carry pistols or revolvers.
Rifles and Handguns- Rifles or handguns using ammunition larger than .22 caliber rimfire long rifle cartridges are prohibited on state-owned land. Rifles or handguns of any caliber are prohibited on State-leased and Permit-Required Hunting Areas (see Permit-Required and State-Leased Hunting Area sections for exceptions). The use of rifles or handguns to hunt turkeys, waterfowl, or any other federally regulated migratory game bird (except crows) is prohibited. Hunting on private land with ammunition larger than .22 caliber rimfire long rifle during the private land shotgun/rifle deer season is prohibited unless the user has a valid private land deer season permit and landowner consent form. The use of rifles or revolvers to hunt deer is subject to additional restrictions (see Private Land Shotgun/Rifle Season). The use of ammunition larger than .22 caliber rimfire long rifle to hunt raccoon or opossum at night is prohibited. A person using a handgun for hunting must possess any required state/town permits to carry. Note that it is legal to use .17 caliber rimfire firearms in all situations where it is legal to use .22 caliber rimfire long rifle firearms.
Shotguns - The possession of shotgun ammunition larger or heavier than #2 shot is prohibited on state-owned lands, state-leased lands, and Permit-Required Hunting Areas,at all times, and is prohibited on private lands during the Private Land Shotgun/Rifle Deer Season (see Permit-Required and State-Leased Hunting Area sections for exceptions). However, on any lands, waterfowlers hunting from a boat, blind, or stationary position may use up to and including size BB steel shot. The possession of lead shot while hunting waterfowl is prohibited. The use of shotguns larger than 10-gauge for hunting waterfowl is prohibited. Shotguns must not be capable of holding more than 3 shells (2 in the magazine, 1 in the chamber) when hunting waterfowl, other migratory birds (except crows), deer on state lands, and turkey. The use of shotguns to hunt deer or turkey is subject to additional restrictions (see Deer Hunting and Turkey Hunting).
Muzzleloaders - During Muzzleloader Deer Seasons, a muzzleloader means a rifle or shotgun, .45 caliber minimum, incapable of firing a self-contained cartridge, using powder and a single projectile loaded separately at the muzzle end. Shotgun converters and telescopic sights are legal. Restrictions on the use of smoothbore muzzleloaders for hunting small game and waterfowl are the same as those for shotguns. Restrictions on the use of muzzleloading rifles for hunting small game are the same as those for rifles, except that on state-owned land, up to a .36 caliber muzzleloading rifle using round ball ammunition only may be used. A percussion/in-line muzzleloader with a cap or primer installed, an electronic muzzleloader with a battery connected or a flintlock muzzleloader having powder in the pan is considered a loaded firearm.
High-Velocity Air Guns - Restricted to those that use a single ball or pellet-like projectile. Additional restrictions on the use of air guns are the same as those for rifles and handguns.
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Your prompt response is well appreciated, thank you

If your only target shooting, the 500 ft rule doesn't apply. just don't get caught shooting anything other than a target

No problem if you're target shooting. 500' rule does not apply. Just make sure you have a suitable backstop.