If we go to the math, it really paints the picture...
AMC is owned by AMC Networks:
https://en.wikipedia.org/wiki/AMC_Networks which also owns a typical cable bundle of other channels including IFC, WE tv, Sundance, just shy of half of BBC America, the IFC center in NYC and the film company IFC Films. As you see there, total revenues for 2013 was $1.6 Billion. Let's assume that your desire for AMC means that's the crown jewel of their bundle and assign- say- HALF of the $1.6B to that most desired channel as revenues. That's $800M dollars. Number of U.S. Households with Broadband Internet is apparently 92 Million per
http://www.statista.com/statistics/183614/us-households-with-broadband-internet-access-since-2009/ Now let's take your offer of $1-$3 per month in an Apple replacement al-a-carte model. Apple will likely want it's 30% right off the top, so let's use- say- $2 per month less 30% = $1.40 per month net of Apple's cut. $1.40 times 12 (months) = $16.80 per year that could flow to AMC al-a-carte pitched to us consumers at $2 per month.
$800M that AMC needs to make from this channel divided by $16.80 = 47,619,047, which would represent the number of broadband households that would need to choose AMC al-a-carte to generate the same revenue. About 48M/92M = 52% of all broadband households. Is AMC popular enough for that?
But wait. If our al-a-carte model has killed off those other channels that AMC Networks offers because they are not as desirable as AMC, we exterminate their subscriber revenue AND their commercial revenue to AMC Networks. That needs to be made up or why should AMC Networks have any interest in embracing an al-a-carte model (certainly not to lose money).
So let's re-work math on an assumption that everyone interested in any of that family of channels is actually only interested in AMC (which probably is not true, but
some bundle of channels may have just one jewel channel). So that pushes us up toward using the full $1.6 Billion. Let's arbitrarily knock $400M off for the non TV channels assets of IFC Center and IFC Films (I'm just wild guessing there, but it means I'm guessing that those 2 can produce $400M on their own). So now the math looks like this:
$1.2B/$16.80 per year = about 71 Million broadband households having to choose to subscribe to AMC
for the whole year or about 77% of ALL broadband households to replace that number.
Contrast that with CBS and their $6 al-a-carte offering. $6 times 12 months = $72/year. If AMC had a CBS price for al-a-carte, $1.2B/$72 = about 17M broadband households, or about 18% of ALL broadband households. To me, that also looks pretty challenging but maybe doable. I don't see 52% (48M households) to 77% (71M households) as a realistic goal for a channel like AMC. Why? As a point of comparison, according to this:
http://expandedramblings.com/index.php/netflix_statistics-facts/ Netflix has a little over 40 Million U.S. subscribers to it's very popular service offering far greater breadth & depth of content than an AMC could offer on it's own. I find it difficult to think an al-a-carte AMC could get more subscribers than Netflix which is why the 17M is IMO a maybe at best (and that would only be able to get down to 17M by using CBS's $6/month not your $1-$3, and I didn't even take about $2 bucks out of CBS's $6 to give to Apple).
Bring it down to the net $1.40 per household or even use your $2.99 less Apple's 30% or $2.09 net to AMC and it needs between about 48M and 71M to simply replace the $1.2B that needs to be replaced or else why should AMC Networks be interested in embracing an al-a-carte model? Note that as each studio considers the same question, the driver of real change is the opportunity to make MORE money, not less or the same, so the enticement of al-a-carte from THEIR perspective needs to be something greater than my (admittedly wild) guess of $1.2B or so.
According to this:
http://theweek.com/articles/488314/americas-tv-addiction-by-numbers the average number of viewers of the channel for it's most popular original show- The Walking Dead- is 6 million. So al-a-carte AMC needs to draw somewhere between 8 and about 12 times
more viewers to an al-a-carte version of itself to make something like $1.40 to $2.09 work. Therein lies the great challenge at costs-per-channel as we consumers tend to imagine them.
Now, I have excluded commercial revenues from the above and that would be meaningful. Conceptually, commercial revenues could be greater on a per-channel basis than they are now because more eyes would be on what is imagined to be a much lower quantity of channels in play. And that would make it more favorable than the picture I've painted above. But even if we generously layer in a heavy commercial model (of which not everyone wants commercials in their dream of an al-a-carte model) with even more subsidy dollars generated from commercials, a goal of 4-8 times more viewers than what they counted for watching their top show still seems like a stretch in an al-a-carte offering. 6 times 6 million more viewers is 36 million which would only be 4 million less than ALL of Netflix's U.S. subscriber tally.
Sorry for the long post but hopefully it paints a picture. People can plug in their own numbers and make their own assumptions of commercial subsidy or commercial-free al-a-carte but it's pretty ugly unless the average cost per channel is upwards of several times what we usually guess that it should be and then it might be doable if huge numbers of us all embrace it too.