Just finally migrating from Wink to SmartThings, not sure what took so long. Be gentle if this has been covered recently, everything I searched dated back to 2017, and basically said Wink had broken the Tapt making it useless in SmartThings. Figured others may be migrating now, and might find this useful.
After trying everything that had been suggested (changing IDE to generic Zigbee Smart Switch, cycling the power, installing the custom device handler), I got desperate and starting trying all the other Generic Handlers.
Turns out, if you use the “Zigbee Multi Switch”, you get 2 devices. One device does nothing discernable, but the other device actually is the on-off controller, and updates quickly and reliably.
I know this is a dinosaur of a device, and most people wont care at all, but if anyone else out there is struggling, here is your answer. Hope this was acceptable and posted to the right area.