This latest update does appear to have resolved my primary issue: getting signed out of the app when not on the internet.
I was forced to let the app use cellular data, and even then, hitting a dead spot could be problematic.
Fired up this latest version, turned on airplane mode to simulate a total lack of internet access... Success! I was still signed in and able to read my Offline Reading titles.
Now lets see if I still get the occasional glitch where my library shows 0 titles...
Waa about Marvel Unlimited, v2.9.5