Sonoff EFR32MG21 flash as Router (and integration in SkyConnect ZigBee)?

That is normally due to Zigbee technology by design, see this other thread for recommended actions you should follow (summary; avoid interference and add many mains-powered Zigbee products that act as Zigbee Router devices, also know as signal repeater functionality, which extend the overall range + coverage by builibg out the Zigbee network using mesh networking) → https://community.home-assistant.io/t/guide-for-zigbee-interference-avoidance-and-network-range-coverage-optimization/515752/

Yes you can (and it is great as a Zigbee Router device), for links to many separate guides from different people see → ITead’s “Sonoff Zigbee 3.0 USB Dongle Plus V2” (model "ZBDongle-E") based on Silicon Labs EFR32MG21 +20dBm radio SoC/MCU