Not an expert, but here is what I know from personal experience:
We also just got the wired doorbell. As you learned during installation, it installed from the Nest app. Our Nest thermostat did, too.
We also have (5) Home speakers/minis scattered throughout the house. (Yes, I went a bit crazy during sales, plus we has a bigger house. 😉 Those, along with other "works with Google" gadgets (Kasa smart bulbs, outlets, cams; myQ garage door opener; LG washer/dryer) are all integrated into the Home app, as well as their native apps (Kasa, myQ, LG ThinQ). All have varying degrees of control in Home, which we use as a coordinator for voice control, routines, notices on our phones/watches.
My immediate issue with the Nest battery cam is that it installs in the Home app, not Nest. Home provides no scheduling abilities for this item, like Nest does with the doorbell. The cam can be viewed from Home, turned on/off, a few other settings. But no scheduling. So, this cam that is on our mostly private back deck reports every time one of us goes out the door, walks past mowing the lawn, etc. I would like the ability to turn it off during the day, on overnight for the security reasons that I purchased it for. (Google Home also does not seem to recognize the cam for use with voice controlled options, so I can't add it to a routine.)
If I'd done more research and not made reasonable assumptions about the Nest cam, I might have considered the Kasa cam battery option, instead. The indoor ones that we have work well, have decent interface with Home and are half the price. Using the separate Kasa app for fine tuning is no more annoying than what I'm currently doing, manually turning the Nest cam on at night, off in the morning.
Hope this helps!
