The Denver case mentioned above was originally filed under Petersen v McCabe. It has been modified to Petersen v Martinez because the defendants seem want to keep trying to dodge the ball of responsibility. Details are "stickied" at the top of the Colorado forum at
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Reading the filing by Petersen, it appears that the remedy sought is to expand the Heller/McDonald decisions to strengthen the right to bear arms under the privileges & immunities clause of the 14A -as Justice Clarence Thomas had recommended in his McDonald concurring opinion. . A ruling that the right to bear arms in case of confrontation extends well beyond the home - only to be restricted by locations such as schools,court houses, and such like is being sought.
The result regarding Denver's ban on unlicensed open carry would be that since the State of Colorado itself does not require a permit/license in order for a person to open carry, the Denver law requiring a license to carry at all - denies Petersen the otherwise lawful exercise of his right to bear arms in defense of his person under the existing Colorado law that makes him ineligible to obtain a CO CHP, or benefit from CO reciprocity.
I think a successful decision in this case at the SCOTUS level would further apply the spot light of (2A) scrutiny on Texas 46.02(a) which also requires a somewhat arbitrary licensing eligibility criteria- regarding child support, student loan, state tax delinquency- in order to "wear" a handgun "IN CASE OF CONFRONTATION" at all- not just concealed. We'll see.
In response to the OP - Yes, at least one bill that would repeal 46.035(a) will be introduced in 2013.