The only items that show up under Anynet+ are the receiver and blu-ray. The cable box, as you surmise, isn't.
I'm not using Smart Hub here, just the home menu at the bottom of the screen. I *presume* it's the same thing.
The cable remote is programmed to turn on the TV and the cable box. The TV remote is that Samsung mini remote that they think is so cool and that I find to be a pain in the ass. My wife wants to use just one remote, understandably. But the receiver remote won''t control the TV apps (and for that matter a Bluetooth keyboard won't work with YouTube, which is annoying, but wednesday thursday friday).
I bought a Harmony remote, one of the lower end ones. Shelling out several hundred $$$ for a remote seems a bit over the top. But it's not actually all that easy to use, and of our collection of remotes, it's probably the one we least use. It looks like it sends commands sequentially, so you have to keep it pointed toward the equipment for a few seconds and hold down the button. Same thing, for that matter, with the cable remote. The only remote I have that does it right -- keeps track of all of the state, and sends the entire state to the device -- is the air conditioner remote for a 10 year old portable AC we use to boost the central AC. But that's the way it should work IMO; the remote stores the entire state of the system and sends the whole thing. But I'm getting a bit off topic here.
Fortunately our current dog isn't a chewer. She'll eventually trash her toys, but never touches our stuff. Our first one was, and destroyed pretty much all of the remotes (for stuff we no longer have).