Very good news!
As @blueyetisoftware (The author of the community created edge driver, I mentioned as method 4 ) confirmed above , that edge driver will indeed bring in the run less wire click switches. The only thing you need to know is that their device class is “button“ so that’s what you have to look for in the Discover workaround. After that, they will appear in the SmartThings app, probably as a 4 button device.
So here are the steps to get everything connected together. This list assumes that you already have the Lumary lights working with your Google home voice assistant. If not, do that first.
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add the run less wire click devices to your Phillips Hue app.
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Add the community-created Phillips Hue Bridge edge driver to your SmartThings account.
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set up the Phillips Hue Bridge to use that edge driver, following the workaround instructions in that thread. Remember that your click devices are “buttons.“ I am linking directly to the post with the workaround instructions
[ST Edge] Philips Hue LAN [BETA] (3rd Party Driver, Not ST Native) - #736 by blueyetisoftware
After this, the click devices should show up in your SmartThings account device list and be available for use in SmartThings routines.
- now we need to create a Google home routine so that pressing the click switch will turn on your lumary lights.
(If you were using Alexa, you could just do this in the Alexa app, but I know you are not.)
4A) The good news is that Google home routines can be triggered from a switch. The bad news is that it probably doesn’t think the click devices are switches, it probably thinks they are either buttons or remotes. But first check to see if it does think they are switches. If it does, you’ll be all set. Just create one Google routine to turn the lights on And another Google routine to turn them off
4B) if the click devices are not available to trigger a Google home routine, you will have to create a virtual switch in SmartThings to act as a proxy for the click device. Once you have created the virtual switch, You’ll need one SmartThings routine to turn the virtual switch on when the click switch turns on. And a second SmartThings routine to turn the virtual switch off when the click switch turns off.
After that, you should be able to create a Google home routine to turn on the lumary lights when the virtual switch turns on and another to turn the lumary lights off when the virtual switch turns off.
Note that this virtual switch is now a proxy that you can see in the SmartThings app for your lumary lights even though the lumary lights themselves don’t have a smart things integration. You might want to go ahead and have the virtual switch in any case, as that will also allow you to use other SmartThings automations to turn them on and off.
Obviously, this is just a partial integration. You can’t change colors or anything. But at least it solves the problem of having two switches on the wall, each of which can turn the lights on even though you had to use four Home Automation platforms to get there. 
This clunkiness is exactly what matter is supposed to solve in the future by making it possible to have a light that can work with all the major home automation platforms at the same time. But we aren’t there yet.
You might go ahead and ask Lumary if they intend to add eventual matter integration for their lights. Not for now, obviously, but it might be good for the future.
