The sequence idea doesn't work b/c you can criticize sequences or categories as a whole, criticism doesn't have to be individualized (and typically shouldn't be – you want criticisms with some generality).

Most falsifiable hypotheses are rejected for being bad explanations, containing internal contradictions, or other issues – without empirical investigation. This is generally cheaper and is done with critical argument. If someone can generate a sequence of ideas you don't know of any critical arguments against, then you actually do need some better critical arguments (or else they're actually good idea). But your example is trivial to criticize – what kind of science fairy, why will it appear in that case, if you accelerate a proton past a speed will that work or does it have to stay at the speed for a certain amount of time? does the fairy or sticker have mass or energy and violate a conservation law? It's just arbitrary, underspecified nonsense.

most ppl who like most things are not so great. that works for Popper, induction, socialism, Objectivism, Less Wrong, Christianity, Islam, whatever. your understanding of Popper is incorrect, and your experiences do not give you an accurate picture of Popper's work. meanwhile, you don't know of a serious criticism of CR by someone who does know what they're talking about, whereas I do know of a serious criticism of induction which y'all don't want to address.

If you look at the Popper summary you linked, it has someone else's name on it, and it isn't on my website. This kind of misattribution is the quality of scholarship I'm dealing with here. anyway here is an excerpt from something i'm currently in the process of writing.

(it says "Comment too long" so i'm going to try putting it in a reply comment, and if that doesn't work i'll pastebin it and edit in the link. it's only 1500 words.)