What you need is to set up a satellite backend system using one or more DVB-S2 tuner cards (or USB connected tuners, but I have heard they are prone to overheating so I recommend the cards). There is a somewhat dated article here that more or less explains the process:
THE “WHY” BEHIND THIS ARTICLE I’ve wanted to write an article to help new users set up a working PVR backend system for our peculiar type of North American free-to-air satellite f…
freetoairamerica.wordpress.com
I am sure it seems like a pretty daunting process if you are just coming into it because basically there is a lot to learn all at once. But once you have your system set up and working and start to understand how the parts fit together, it gets a lot easier. And the DVB-S2 tuner cards will work to receive the 4:2:2 signals.
But then again you don't necessarily need to go that route. I sill suggest reading and trying to understand that article, because it will give you insight into how all the parts work together. But consider this, let's say you have a normal consumer-grade satellite receiver that is able to scan in the 4:2:2 transponder (either because it picked it up on a blind scan or because you entered the settings manually) and is able to record from that transponder and produce a transport stream (.ts) file and save that to a hard drive, OR stream it to your local network. What it won't do is play the channel directly to your TV. Well, that is because the playback section in most receivers is too weak, neither the CPU nor GPU (if it has one) is capable of playing the signal in real time. But chances are that just about any desktop or laptop computer you may have will play that signal just fine.
So if the receiver you have will stream that signal to the local network, you can use any program that will play a stream to play it - typical programs used are VLC or Kodi but there are several others. If it will save the stream to a file on attached storage such as a hard drive, and you can access that file from the local network, then again you can play that file using the same software (VLC or Kodi, etc.) and if the file is a .ts file you don't even have to wait for it to be finished recording; you can usually begin playback shortly after the recording starts. But you say you don't want to watch on your laptop or desktop, well that's what a Home Theater PC is for. You connect it to your TV using a HDMI cable. And yes you could use your current desktop or laptop computer for the purpose but some of us have a dedicated computer just for HTPC use. If you were NOT trying to get 4:2:2 you could use a Raspberry Pi 4 as a HTPC but the Pi 4 suffers from the same problem as most satellite receivers in that the hardware just isn't beefy enough to play back the 4:2:2 signal. I think some people are using an Intel NUC or similar small computer for the purpose, or even a Mac Mini if you have $$$ to burn. But my point is that you are most certainly not limited to watching 4:2:2 signals on your phone, and that you CAN output to your TV.
So read the linked article and I think you will see that although it is not as simple as hooking up a satellite receiver (unfortunately), it also does not require buying some expensive commercial tuner (that you then have to figure out how to connect to your TV). That said I am a bit amazed that in the year 2021 we still don't have any new consumer-grade satellite receivers that can handle a 4:2:2 signal without acting like they are trying to drink from a fire hose.