As @hydro311 pointed out, you can only due true Zigbee binding if everything is on Hubitat directly. With that said, there is a community app ([RELEASE] Switch Bindings 2.0) that works really well in this scenario of using both Hubitat and a Hue Bridge. It's a software solution, so it will not work if your Hubitat goes down, but it might help a little in this situation.
The other question is what type of Logitech remote are you using? If it has a Harmony Hub, you might be able to use [Release] Logitech Harmony Hub Driver v0.1.20230311 and bring the remote into Hubitat.
