Second, do you have a link to the page on the Jasco site which discussed edge drivers? I suspect there may have been some confusion, this stuff can get very technical. 
The zwave specification is handled by an independent third-party organization, and by design it is backward compatible for almost all basic features.
“Edge drivers“ are something that smartthings made up for itself, which is an architectural overlay over the certified Z wave implementation. There’s nothing in that which says it won’t work with basic Z wave features for even the oldest devices, and if there were, the smartthings hub would lose its certification as a zwave controller.
That said, functionality only has to be at the simplest level, on/off and dim for switches. Any additional features don’t have to be supported
So while there are definitely “zwave classic” (3rd and fourth generation) devices which have edge drivers which have been developed by the community with advanced functionality, and all certified zwave devices of any generation should work with a basic generic stock edge driver, it is possible that there are individual Z wave classic devices which don’t have a custom edge driver yet, and which have pretty limited functionality with the generic drivers.
There is an entirely separate issue involving the pre-2018 versions of Jasco switches that Has to do with synchronizing The status of a switch changed at the wall with the status that is shown in the app. There was special code in the old Groovy DTHs to handle that situation, and I’m not sure if that’s going to exist in the regular stock edge drivers or not.
but that would only apply to those specific models and only for that specific issue. Regular turning the switch on and off from a routine would still work with a generic edge driver.
So…as @csstup indicated, the first rule of home automation definitely applies: “the model number matters.“ But most of your devices should still have at least basic functionality, regardless of their Z wave generation. So that’s the good news.
Model numbers are hardly ever on the front. They are usually on a label on the back of a mains powered plug-in device, on a label inside the battery compartment for a battery powered device, and as far as a light switch/outlet, if you takeoff the switch plate cover, you should see the model number stamped onto the metal surround Part of the switch.