This is why I never saw the setting to disable the app prompt. Reddit tracks every single action on their site (no duh) and I don't feel like being monitored when I'm on the toilet looking for LULZ
I smiled when writing that, expecting this very response ;) - I'll just stay away completely as per my parent comment edit.
The kicker is that Reddit's "activity feed" in the right hand sidebar is what revealed, or reminded me of this behavior. Without it, I probably would have continued to ignore the obvious / bury my head in the sand. Thanks Reddit!