While it's possible, I'd guess this is unlikely due to the focus of the Notifications app being sending notifications and not turning on switches. I know it requires the use of third-party code, but this sounds like a good candidate for Device Watchdog, which I believe can already do what you're asking for (turn on a switch if it has something to report, which you can configure to be only certain battery levels).
Othweise, Rule Machine is tricky to set up for things like this unless you have a separate rule for each device (I think we may have discussed this before), but if you just want a virtual switch to turn on, it can handle that--easily if you want one switch for any device (say, with the switch being on if any device is below a certain level and off if all are above), but with similar difficulty if you want a different one for each.
That being said, it's not clear to me what the role of the switch would be here (it won't log anything about other device names or battery levels on its own, though you could add a rule to do so when it turns on if you want--you may want to expand on that if you still want to do this after reading my next thought). But honestly, I think logs are a bad place to find important information if you're not actively trying to troubleshoot something that is happening or recently did. I'd prefer notifications for easier visibility, and then we're back to just the plain Notifications app again. 
