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It’s all correct.
When you connect the K6 using WiFi with your phone, your phone sees this connection as the access route to the internet. But the K6 is not a connection to the internet, it is only a ‘hotspot/wifi’ connection to your K6. This may be the reason why your phone is reporting that there is no internet connection. After all, your phone (Android) is constantly looking for a connection to the internet.