The 4K Joeys do not get the 540 channels because they don’t do HDR. I just tried to do a record on 540 on my Hopper 3. I see the recording in progress on my Hopper but not on the 4K Joey. I tried to ”Join” the Hopper feed on the Joey and it gave me a can’t join because of HDR. So, to answer your question. The 4K Joey is worthless for this purpose.
The solution to this is the new Joey 4. It does 4K and HDR.
I had all of my Joeys updated to this a few weeks ago. These use the Google TV platform. The installation with my Hopper3 was complex, and took a couple of attempts to get everything working correctly.
For the initial install, I did not add the Hopper Plus to my Hopper 3, because it's been reported that you lose PIP and MultiView. I had issues with live satellite TV on the Joeys, so we added the Hopper Plus to my install. It worked, but no PIP or MultiView. I waited about a week to see if any software updates would restore PIP and Multiview. No bueno. So... I tried a manual software update, which did not go well. My installer walked me through multiple resets, and eventually we disconnected the plus from the system. It all works smoothly now; no plus, but PIP and Multiview are back, and the Joey 4s are stable.
4K HDR on the Joey 4s is good, but there is one weird behavior. The Joey 4s always tag the output as HDR even for SDR content. This is not ideal because the TV defaults to HDR settings including not setting BT709 for color.
The work around is to disable HDMI enhanced mode for the TV unless you are watching HDR content. This is not a huge problem because I am only watching HDR over Dish for sporting events a couple of times a week. It would be nice if Dish can fix this with firmware, but I am not sure if that is possible.
The other fix needed is to allow PIP and Multiview with the Plus, again, if that is possible.