I'll take a crack at it.
Federal case law jurisprudence has followed the generally recognized precedent that the mere possession, wearing, carrying of a firearm in public, in and of itself, does not support probable cause for law enforcement to articulate reasonable suspicion of criminal activity. This frequent holding by the federal courts presumes that no federal, or state sanctioned local law otherwise CONSTITUTIONALLY restricts the possession, carrying, or wearing. I do not have the citations at hand, but the case law has been previously cited and linked to on this forum. So please consider my expanation with the qualification that I am not presenting a legal brief at this time - OK.
Further the SCOTUS has in Heller and McDonald made at least ONE THING perfectly clear. HANDGUNS are not excludable from the now federally recognized and protected right to keep and bear arms. Texas 46.02 and 46.035 address CARRY AT ALL and nonconcealed (OPEN) carry of a handgun by licensees respectively under Texas law. A blanket criminalization under Texas statute of possession, carrying, or wearing a handgun (46.02) that is limited only by a few excepted allowances seems to me to be in violation of the now incorporated 2nd Amendment, as well as the Texas Constitutional protection of the RTKBA. This legal construction is inside-out , upside-down, and @#$ backwards.
Any restriction IN TEXAS must apply some concern as to location, the status of a person's right to ship, transport, posses, or receive firearms under federal and state law, and specify (under provision of the Texas Constitution) in WHAT MANNER, the arm (side-arm/handgun in this case)is REGULATED to be worn (to prevent crime). Texas has to choose to allow either otherwise lawful open carry combined with regulated concealed carry, or (preferably) allow for constitutional carry ( concealed or in plain view) subject only to other statutory restrictions(previous offenders, specified restricted locations) .
A possible response to the REGULATION of how a handgun may be worn provided in 46.035 (by a person licensed to carry a handgun concealed), may rest in the fact that under Texas law the concealed carry of a handgun is not explicitly restricted , or prohibited, although it may be construed historically, given Texas court arguments, and opinions over the last 138 years that suggest CONCEALABILITY is at the very heart of 46.02.
Given that concealed carry is not criminalized under Texas law, the Texas concealed handgun license is actually a HANDGUN LICENSE that requires any handgun worn to be concealed. Unlike Colorado for instance that plainly criminalizes concealed carrying statutorially and excepts the practice constitutionally from the RTKBA. Colorado considers the wearing of a handgun in plain view to be the exercise of a constitutionally protected right. Texas' peculiar handgun law is now nullified under incorporation at least as it pertains to criminalizing otherwise lawful handgun wearing without a license . Prior to incorporation Texas could have restricted the right just as thoroughly as Illinois, if political reality so allowed. Reflecting upon that thought further, Texas wasn't actually very far behind Chicago statutorially prior to 1995, when the shall issue concealed carry law was passed.
If I were to approach the Sheriff in one particularly Texas county where I formally resided with the proposition : "Will I be arrested and charged under 46.02 or 46.035 if I walk past the courthouse wearing my holstered handgun in plain view ?" I can guarantee the response would be something like: "Are you planning on robbing the bank? or did you park your car in a no-parking zone?"
Common sense should suggest the question be asked - "Where is the crime?" or "Has this person threatened to commit a crime?"
This is why Texas law 46.02 needs clarification and/or amendment - post-McDonald.
... "the power to regulate the wearing of arms WITH A VIEW TO PREVENT CRIME" .... can no longer be stretched into the power to BAN mere possession, or wearing of a hangun except in the case of certain State allowed circumstances - as is the situation presently in Texas . 46.02 MUST BE CONSTRUED TO LOOK BEYOND THE LAWFUL EXERCISE OF THE RTKBA for evidence of actual criminal conduct, or criminal purpose, and intent to engage in criminal conduct.
Governor Perry must be persuaded to request that Attorney General Abbott review this issue and clarify 46.02/46.035 (for starters) in respect to federal and State constitutionality.