EXACTLY!
Plus its illegal to consume alcohol and carry. The law says nothing about a legal limit and carrying
That is not correct.
It is illegal to be "under the influence" of alcohol and carry.
The only time it is illegal to "consume" and and carry is if you are within the confines of a building open to the public that serves alcohol for onsite consumption.
The fact that the laws mentions consumption and under the influence separately and and that there is an additional punishment if you under the influence as opposed to just consuming means they are two different things.
39-17-1321. Possession of handgun while under influence -- Penalty.
(a) Notwithstanding whether a person has a permit issued pursuant to § 39-17-1315 or § 39-17-1351, it is an offense for a person to possess a handgun while under the influence of alcohol or any controlled substance or controlled substance analogue.
(b) It is an offense for a person to possess a firearm if the person is both:
(1) Within the confines of an establishment open to the public where liquor, wine or other alcoholic beverages, as defined in § 57-3-101(a)(1)(A), or beer, as defined in § 57-6-102(1), are served for consumption on the premises; and
(2) Consuming any alcoholic beverage listed in subdivision (b)(1).
(c) (1) A violation of this section is a Class A misdemeanor.
(2) In addition to the punishment authorized by subdivision (c)(1), if the violation is of subsection (a), occurs in an establishment described in subdivision (b)(1), and the person has a handgun permit issued pursuant to § 39-17-1351, such permit shall be suspended in accordance with § 39-17-1352 for a period of three (3) years.