This is the statue:

18-12-106. Prohibited use of weapons.
Statute text
(1) A person commits a class 2 misdemeanor if:

(d) The person has in his or her possession a firearm while the person is under the influence of intoxicating liquor or of a controlled substance, as defined in section 12-22-303 (7), C.R.S. Possession of a permit issued under section 18-12-105.1, as it existed prior to its repeal, or possession of a permit or a temporary emergency permit issued pursuant to part 2 of this article is no defense to a violation of this subsection (1).
Here is the case law and no I have not reviewed it.

Failure to define "under the influence of intoxicating liquor", if error, was harmless, where defendant, charged with violation of this section, testified that he was too drunk to drive. People v. Beckett, 782 P.2d 812 (Colo. App. 1989), aff'd, 800 P.2d 74 (Colo. 1990).

Possession of a firearm while intoxicated is a strict liability offense, therefore, the trial court did not err in refusing to instruct the jury that "knowingly" was an element of the offense. People v. Wilson, 972 P.2d 701 (Colo. App. 1998).
Take it for what you will I personally will have a drink with dinner ect. while carrying. I can't say that technically one could not be prosecuted for doing so.