I think in general the argument makes sense, but I’d point a few things:
Bad arguments of the fallacy type actually do not take a long time to reply to. You can simply suggest to the person that you think X is a fallacy because of Y and move on.
Bad arguments of the trolling type require you detecting when a person is not interested in the argument itself but making you angry, etc. Trolling is typically a feature of anonymous communication, although some people enjoy doing this face-to-face. In general, one should avoid feeding the trolls, of course, because doing so achieves nothing other than to entertain (or even give money to in certain platforms) the troll. In person, throw the troll-might-be your best argument and see how they react. If their answer does not reveal reflection, just move on.
“Bad arguments” of the sort “people just say X is wrong” typically just reveal a difference in values. It’s possible to argue, e.g., about the positive and negative things associated with a given thing (e.g., homosexuality, cultural appropriation), but it’s not possible to argue the valence of the thing in itself (e.g., whether these things are bad in and of themselves). Sometimes you can argue based on internal logic of a value system (e.g., “Ok, so you think homosexuality is bad because the Bible says so, but it also says you shouldn’t eat pork or seafood and you do it. Why do you care about it for some things and not others?”), but I find these discussions are usually not worth it unless done for enjoyment of both parties or between people who will have a long-term close relationship, in which value-alignment or at least value-awareness is important.
In general, I think it’s good to practice letting go and just accepting that you can’t win every argument or change everyone’s mind on any one thing. I’d say Cognitive Behavioral Therapy and Meditation might be good suggestions for people who frequently get worked up after an argument with others and that ruminate (with associated negative feelings) on the argument for hours to days after the fact.
Just to comment on the results: In hindsight, these results seem pretty obvious: in the first years of my Bachelor in Psychology we had this saying: “The best predictor of behavior is past behavior” and I know of a bit of research on the effectiveness of interventions over time, things such as implicit attitude change (e.g., https://psycnet.apa.org/manuscript/2016-29854-001.pdf) or fake news belief interventions (https://onlinelibrary.wiley.com/doi/full/10.1111/jasp.13049) typically lose a lot of effectiveness in days or weeks, so seeing an intervention not work after 6 months seems not surprising at all. But it would have been nice to see the expectations of most people who consider putting money on EAGx makes sense + people who typically do research into behavior change to know whether this lack of surprise I feel is just me being biased. Regardless, great to see the impact of EAGx being tested!