Well, you're partially correct, it does mention an "enclosed container" (See section 8). Being that a "seat pocket" would generally have some form of velcro or elastic at the top, it would seemingly be considered to be "enclosed" technically. As for the "door pockets" that are generally hard plastic and are not enclosed, they would, according to this, be therefore illegal and the individual, if NOT having a CCDW, would, according to this, be in voilation and considered to be illegally concealing a weapon which is a Class A misdemeanor unless the individual is a convicted felony (See section 9).
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(8) A loaded or unloaded firearm or other deadly weapon shall not be deemed concealed on or about the person if it is located in any enclosed container,[a glove] compartment, or storage space[regularly] installed as original equipment in a motor vehicle by its manufacturer, including but not limited to a glove compartment, center console, or seat pocket, regardless of whether said enclosed container, storage space, or compartment is locked, unlocked, or does not have a locking mechanism. No person or organization, public or private, shall prohibit a person from keeping a loaded or unloaded firearm or ammunition, or both, or other deadly weapon in a[ glove compartment of a] vehicle in accordance with the provisions of this subsection. Any attempt by a person or organization, public or private, to violate the provisions of this subsection may be the subject of an action for appropriate relief or for damages in a Circuit Court or District Court of competent jurisdiction. This subsection shall not apply to any person prohibited from possessing a firearm pursuant to KRS 527.040.
(9) Carrying a concealed weapon is a Class A misdemeanor, unless the defendant has been previously convicted of a felony in which a deadly weapon was possessed, used, or displayed, in which case it is a Class D felony.
Source:
http://www.lrc.ky.gov/record/11RS/HB313/bill.doc