It’s switching in response to a basicSet, but won’t send a report in response to a switchBinaryGet. It being marked offline is because it isn’t responding to the ping, which sends a switchBinaryGet. Meanwhile, it shows online when you use Alexa because it sends that switch was pressed event (which appears to be the Hail command class).
Exclude/include is a good step to try. You might’ve already seen the thread below, but it’s a success story that might work for you. Otherwise, could try to see if it responds to a basicGet.