I don't have experience with the coffeesock, but I have use the Hario Woodneck filters daily. My method is this: boil water, run hot water through filter, add grinds, then do normal pourover method (may want to adjust grind since it may drain faster). After brewing, dump grinds in compost, rinse filter, put filter in small jar. Pour leftover boiling water from kettle into jar. Store in the fridge until tomorrow. Periodically (preferably monthly), you should clean the filter by soaking it in a combination of water and a little Cafiza. You have to really rinse well after the soak, because you really don't want to taste that in your coffee. I have never used a Moccamaster, but I don't see why this filter wouldn't work for that since it takes V60 filters.
This process is basically what Hoffman recommends. I personally prefer my coffee through this filter since I like the oils of the coffee, but don't really want the fines passing through the filter. That said, it does get very tedious sometimes; I have a metal filter that I use when I'm too lazy to go through this whole process. They aren't really much of a cost-saving or waste-reducing measure. It takes quite a few pourovers before you save money (though I dunno, maybe you buy really fancy filters) and paper coffee filters are compostable. The most cost-effective solution really is a metal filter. However I think the fabric filters produce the best coffee IMO, but I'd imagine people who prefer lighter roasts might actually prefer the paper filters.
This is such a high level description that it is a meaningless comparison. The fact that Fallout doesn't take itself nearly as seriously as Westworld is already a huge difference. Sometimes the implementation is what is valuable, not the idea.