Can You Connect Xbox Live to a Dish Network Converter Box?
No. A Dish Network (or DirecTV) satellite receiver/converter box cannot provide internet to an Xbox.
Why It Fails
Different Signals: Satellite box outputs decrypted TV (HDMI/Component/Composite). It has no Ethernet/Wi-Fi output for client devices.
No ISP Function: Dish is a TV broadcaster, not an Internet Service Provider (though Dish offers DSL/Fiber bundles separately—those use a separate modem).
Xbox Live Requires: Broadband IP connection (DHCP, DNS, NAT) via Ethernet or Wi-Fi to a router/modem.
Or: Powerline Adapter (Ethernet over electrical wiring) → Xbox.
TV on Xbox
Xbox One/Series X|S have HDMI-In (One only) / TV apps (YouTube TV, Hulu Live, Sling, Fubo, Paramount+, Peacock, Pluto, Tubi, Netflix, Disney+, Max, Apple TV+).
Connect Dish box to Xbox One HDMI-In → "OneGuide" for live TV overlay (One only; removed on Series X|S).
This passes video only; Xbox still needs its own internet for Live.
Separate your TV service from your internet service.