I trust the troubleshooter as it's never been wrong on its diagnosis.
So there is no difference between a wired and wireless connection? This would not indicate either adapter, if it's both. This would indicate the gateway.
But I understand this same thing isn't happening on your desktop, so it's worth troubleshooting the devices.
So try uninstalling the Wireless driver
in Device Manager, reboot to auto-reinstall it.
Make sure it has the latest driver.
Disconnect and reconnect to your network.