FGF-101 v2.1 FW3.4 suddenly offline

Sounds like your device may be broken.

Maybe it’s just lost its settings. You could try re-including it. There’s a bit more to that than removing the battery.

Detecting a failed battery zwave device is a challenge. Most of the time, it’s asleep and indistinguishable from broken or missing.
If you have an Item that gets updated periodically (like your battery), you can detect when one or more updates gets missed. The expire binding is useful for that kind of thing.