Months with no response... anyway, I've discovered some more information that may be of interest if there's anyone out there in Paizo support:
I've discovered that if I just keep a browser tab open on the "Digital Content" page, I can use that page indefinitely (at least for several days, I haven't tried past that). But if I close that page, and try to get back to it using the "Digital Content" menu item from the "My Account" download, it acts as if I have logged out (no matter how long or short of a time I had been logged in).
This is also the case with some -- but NOT all -- of the other menu items from "My Account". All in all:
"Order History": Acts as if I have logged out
"Digital Content": Acts as if I have logged out
"Private Messages": Does NOT act as if I have logged out
"Organized Play": Acts as if I have logged out
"My Profile": Does NOT act as if I have logged out
"Account Settings": Acts as if I have logged out
"Sign Out": I assume this would log me out, but I haven't tried.
I've also discovered that it doesn't REALLY log me out even if I go to one of the ones that "acts as if I have logged out". For example, right now, I am typing this forum post in a browser tab that I have previously tried to go to "Digital Content" with (at which point it told me I needed to log in). But then I clicked on "My Profile", navigated to this old post of mine, and here I am typing a reply while logged in -- WITHOUT having logged in again when it told me I had to do so on the "Digital Content" page.
I really don't care about anything except the "Digital Content" tab. I would like to be able to download my content without having to worry about remembering to keep the tab open. It will take me months to download it all (thanks to the lack of batch or otherwise automated downloading), so anything that slows the process down -- such as forcing me to log in over and over and over -- is, well, not good.
Could someone please look into this? Thanks.