New 700 series version of the Zooz 4-in-1 released!

You won't have to manually wake it up. It should check in every 12 hours and ask the hub if anything needs to be updated and just update then.

Re-looking at your screenshot, I actually don't notice to much amiss. The period between 9:13 - 9:19 has more events than I'd normally expect over a 6 minute period, but not enough to cause a problem at all. It seems temperature change was the leading cause of events. Every 1 degree change is sending one.

I think turning off the basic report may help. Are you on a C7 hub? I recommend getting the zwave mesh tool and check out what it reports as the RTT.