Before I give my two cents, first consider I am not a peace officer, lawyer, or judge. With that said…
I read the law I think you are referring to @Randall318 and it seems to be talking about requesting an individual to submit to a chemical test as it pertains to concealed carry, not open carry. I couldn’t find any reference to open carry and submission to chemical testing.
From the law (http://legis.la.gov/Legis/Law.aspx?p=y&d=97451): “A permittee armed with a handgun in accordance with this Section shall notify any police officer who approaches the permittee in an official manner or with an identified official purpose that he has a weapon on his person, submit to a pat down, and allow the officer to temporarily disarm him. Whenever a law enforcement officer is made aware that an individual is carrying a concealed handgun and the law enforcement officer has reasonable grounds to believe that the individual is under the influence of either alcohol or a controlled dangerous substance, the law enforcement officer may take temporary possession of the handgun and request submission of the individual to a department certified chemical test for determination of the chemical status of the individual.”
Assuming the submitting to a tox exam pertains to open carry as well, it uses the wording “reasonable grounds”, so this means more than just because one has a firearm. The officer would need to be able to articulate his reasonable grounds for suspecting you were under the influence.
Being “forced” to go downtown sounds like an arrest to me. Even if you are not placed in handcuffs, if you were made to feel like you were not free to leave, you were under arrest. Now if he said “ I need to do a tox on you, would you be willing to go downtown so I can do that” and you agreed to do so, then one might argue you consented. Much like when someone is pulled over in a vehicle by a police officer and a police officer has a reasonable suspicion that the driver is under the influence, the officer can ask the driver to voluntarily submit to a portable breath test, but unless the officer has probable cause and arrests the driver they cannot compel them to leave the scene go to the station and perform a chemical test. However in most states failure to submit to even a field sobriety test and/or a tox test can result in suspension or revocation of one’s driver license. Now, it is possible that if an individual who has a CCL refused to submit to a tox test by a peace officer, their CCL might be revoked, but I don’t see how that applies to open carry.
You did the right thing by not becoming argumentative and complying with the officer’s request. If it were me, I would also comply, but might have said things similar to, “am I required to go downtown to submit to a test?”, “I am not under the influence and do not want to go downtown to submit to test, but if you are requiring me to I will cooperate”. This way my attorney will have something to work with after the incident. I am extremely supportive of peace officers and the job they do. I will always be courteous, however I will not consent to searches or make voluntary statements.
As @MikeBKY indicates, the foundation for all LA laws is different than all other states, so I guess anything is possible that I can’t understand. Heck, the Supreme Court is hearing a case right now about LA’s jury process of only needing 10 out of 12 jurors to agree for convictions in criminal cases. I didn’t even know they did that. Yikes
I hope you are able to work with your lawyer to address the contact you experienced and that the agency involved provides education and training to their officers to correctly apply and enforce the law.