HP Printer Not Connecting Via Satelite

Your problem is interesting because it sounds like your HP printer is able work with the Orbi network, just only when talking to the router and not your satellite.  The 169.* address means that your printer is unable to request a DHCP address and your static IP address test (good idea) means that it cannot communicate with the Orbi network either.  Do you have any other wireless devices working through the satellite?

One thing to try is to improve your 2.4Ghz wireless device compatibility.  This is unlikely to work because your printer works with your router, but still cheap to try as an experiment.  

Try setting your CTS/RTS Threshold to 2347:

1. Go to the web admin portal at http://orbilogin.com/
2. Click to the Advanced tab, Advanced left menu, Wireless Settings
3. Set CTS/RTS Threshold to 2347 for both 2.4hz and 5Ghz networks
4. Press Apply

See if that helps.  If problems still persist, next try disabling AX mode for the 2.4Ghz band:

1. Go to http://orbilogin.com/
2. Click to hte Advanced tab, Setup left menu, Wireless Setup
3. Uncheck "Enable 2.4G" under the top Enable AX section
4. Press Apply