40:1379.3 does state that in regards to a CHP. Keep in mind it says nothing about open carry - (N) repeats the word "concealed" at least 3 times.
As for 14:95.2... I don't mean to be a jerk, but I cannot understand how you've overlooked the opening phrase that clearly lays out the definition of the prohibited activity. (bolded for emphasis)
A. Whoever commits the crime of illegal carrying of weapons pursuant to R.S. 14:95 with any firearm used in the commission of a crime of violence as defined in R.S. 14:2(B), within one thousand feet of any parade or demonstration for which a permit is issued by a governmental entity, shall be fined not more than two thousand dollars, or imprisoned, with or without hard labor, for not less than one year nor more than five years, or both. Any sentence issued pursuant to the provisions of this Subsection and any sentence issued pursuant to a violation of a crime of violence as defined in R.S. 14:2(B) shall be served consecutively.
Again, this particular statute says nothing about the mere fact of carrying (concealed or not) within 1000' of a parade. It refers to someone who
illegally carries (according to RS 14:95) with any firearm used in the commission of a crime of violence, within 1000' of a parade.
If you aren't illegally concealing (according to RS 14:95) within 1000' of a parade (14:95.2), or
legally concealing "in a parade" (40:1379.3), then you're fine. The statutes do not address open carrying, therefore open carry is not prohibited in or near a parade
according to those state laws.
An interesting side note: 40:1379.3 prohibits CC "in a parade". It says nothing about a 1000' zone or any other such nonsense, just "in" the parade. Might that make a difference depending on whether you're
in the parade, or just
at (watching) the parade?