That's not a multiverse cable situation and there are way more kinds of infinity than just countable and uncountable.
In a multiverse situation you're watching actual content from an infinity of universes where beings exist who have produced and selected that content.
You're not watching an infinite amount of static and magically selecting the parts of static that are coincidentally equivalent to specific content.
All multiverse content must be watchable and creatable by the kind of creature that creates a television. So content that is unwatchable or uncreatable by any conceivable creature will not be in that infinite set.
It is very easy to describe impossible content and any impossible content will not be on the multiverse TV.
Trivial counterexamples that are describable but uncreatable, in any universe similar enough to ours that it has television:
-a channel that reruns actual filmed footage of a given universe's big-bang will not exist.
-a channel that shows *only* accurate, continuous footage of the future of that universe.
-a channel that shows the result of dividing by zero.
Channels that may or may not be uncreatable:
-a channel that induces in the viewer the sensation of smelling their mother's hair.
-a channel that causes any viewer to eat their own feet.
-a channel that cures human retinal cancer.
-a channel that shows you what you are doing, right now, in your own home in this universe, like a mirror. Note that this requires some connection between our universe and the other universe and there's no guarantee, in a multiverse situation, that connections between the universes are also a complete graph.
These examples are more important. We know they are either possible or impossible but we do not know which. Just saying "multiverses are infinite" doesn't answer the question.
In a multiverse situation you're watching actual content from an infinity of universes where beings exist who have produced and selected that content.
You're not watching an infinite amount of static and magically selecting the parts of static that are coincidentally equivalent to specific content.
All multiverse content must be watchable and creatable by the kind of creature that creates a television. So content that is unwatchable or uncreatable by any conceivable creature will not be in that infinite set.
It is very easy to describe impossible content and any impossible content will not be on the multiverse TV.
Trivial counterexamples that are describable but uncreatable, in any universe similar enough to ours that it has television:
-a channel that reruns actual filmed footage of a given universe's big-bang will not exist.
-a channel that shows *only* accurate, continuous footage of the future of that universe.
-a channel that shows the result of dividing by zero.
Channels that may or may not be uncreatable:
-a channel that induces in the viewer the sensation of smelling their mother's hair.
-a channel that causes any viewer to eat their own feet.
-a channel that cures human retinal cancer.
-a channel that shows you what you are doing, right now, in your own home in this universe, like a mirror. Note that this requires some connection between our universe and the other universe and there's no guarantee, in a multiverse situation, that connections between the universes are also a complete graph.
These examples are more important. We know they are either possible or impossible but we do not know which. Just saying "multiverses are infinite" doesn't answer the question.
For further reading, review https://en.wikipedia.org/wiki/Absolute_Infinite and remember that a channel is a defined set.