This article describes when the task bar shows "no Internet / limited Internet access" in the Network Connectivity Status Indicator (NCSI) on Windows which results in various applications like Outlook, Office 365, Cortana, and Spotify not working properly.
These Apps rely on Windows Internet status to make a connection and are unlikely to work when the status shows "no or limited Internet access".
Even though the ping to Internet resources or browsing websites on browsers is successful without issues.
To verify Internet connectivity on LAN zone:
Technically, Wi-Fi adapters are different from Ethernet Adapters, but when it comes to functionality, they are both network adapters. So unless its a problem with the hardware, troubleshooting both is more or less the same.
CAUTION: The above steps are recommendations which should be performed after taking proper steps and backups and SonicWall can't respond if they are not working or causing any further issue.