That Ivermectin is somewhat a scares resource is nonsense, there were rather large countries that gave it out like candy with no problems. I can not overstate how cheap and easy to produce it is, quite different from masks. I would also be very doubtful many people would use an obvious placebo.
Its also far from a nonsensical argument. This isnt about vocalizing your opinion and communicating facts but forcing the behavior of other people without an actual harm at stake. Those are two very different things. You also shouldnt force flat earthers on ship trips around the world just because they annoy you. As they will interpret that as a hostile action on your part and react in kind.
Lets make the argument practical. Even with zero effect, I believe given enough motivation i could convince myself that Ivermectin has some sort of effect. Which would very likely induce a placebo effect. For something where there is zero home treatment options which makes it the best option available to me since i wont be able to convince myself of the benefits of homeopathics. All with neglect-able personal risk and societal impact. Differently put, a lot of what i do has higher risk and higher negative societal impact for zero upside as well.
A placebo you however want to prevent me from acquiring because it annoys you. I do believe we can get most problems solved through a reasonable discussion, impact analysis, cost benefit analysis and last but not least cooperation. But you seem to think your feelings allow you to force me to do stuff that leaves me at a disadvantage (lack of a placebo) for no reason what so ever.
This leaves me with the realization, that you are not interested in cooperation. Game theory tells me to stop cooperating immediately till you learned your lesson. Why shouldnt i? Because you get angry and start fantasying about more force?
Unrelated how right you feel on this, i do not believe that we can get anywhere as a species if everyone acted as you do. At the end of the day, forcing people has a cost and creates a reaction. Or differently put, you cant fix stupidity by force. Especially since you might overestimate your ability to identify stupid.