As you do this for a living, I will accept your explanation and I thank you for taking the time to explain it to me.
Do keep in mind, though, that while (according to what you're telling me) anecdotal evidence is considered in a court room, the world of science has a completely different approach to it.
Check the merged reply from my last post. Apple meant only to do this as a last resort when the OS is completely non-responsive. They will never recommend casually doing hard resets if a soft reset remains an option.
RAM is volatile, meaning it cannot maintain information when it is not receiving power. This is why computers can't truly power off when they're sleeping - disconnecting the battery would instantly purge the RAM and you'd lose the current session.
That being said, soft resets and hard resets accomplish the same end goal: powering off the device. When the device is off, the RAM is completely purged. Boot up from a hard reset happens in exactly the same manner as boot up from a soft reset (except, as I've previously mentioned, some OSes will run some diagnostics and integrity checks to make sure nothing crucial to the OS got corrupted). The fact that your App Store got fixed from a hard reset but not a soft reset is a total coincidence, and one of the wonders of software engineering that we gotta deal with every day.