That's actually not accurate...
Also, while open carry on foot is legal without a license, the interior of a vehicle is considered 'concealed', even if the weapon is laying on the dashboard in full view.
The law provides for legal transport of an unloaded weapon to from your home/business/range/gunsmith. Unfortunately it doesn't cover running errands all day. Even though you can legally OC while on foot, there is no legal way for you to transport your weapon between stops.
In PA, a person needs a license in order to carry a firearm in a motor vehicle or concealed. An exception to that rule is if one has a firearms' permit from any US state, one can carry in a vehicle as long as it isn't concealed. And only PA LTCF or equivalent allows for OC or CC in Philadelphia.
Also, there are no PA laws governing "transport" of a firearm. The laws you're referencing are referring to "carry" of an unloaded firearm. As long as your gun is unloaded and your gun and ammo are in separate areas, you should be good for transport. The concern, however, is that one would have to load whenever exiting the vehicle and unload when entering it... and handling a gun while in a parking lot may arouse some suspicion that may not otherwise be present when OCing.
§ 6106. Firearms not to be carried without a license.
(a) Offense defined.--
(1) Except as provided in paragraph (2), any person who
carries a firearm in any vehicle or any person who carries a
firearm concealed on or about his person, except in his place
of abode or fixed place of business, without a valid and
lawfully issued license under this chapter commits a felony
of the third degree.
(2) A person who is otherwise eligible to possess a
valid license under this chapter but carries a firearm in any
vehicle or any person who carries a firearm concealed on or
about his person, except in his place of abode or fixed place
of business, without a valid and lawfully issued license and
has not committed any other criminal violation commits a
misdemeanor of the first degree.
(b) Exceptions.--The provisions of subsection (a) shall not
(11) Any person while carrying a firearm in any vehicle,
which person possesses a valid and lawfully issued license
for that firearm which has been issued under the laws of the
United States or any other state.