Isolation has to work in the extreme limiting case, that is true based on theory.
But the point here is that is a different question from whether a social or government intervention works. The intervention may not work because it fails to achieve the sort of separation which reduces viral spread in the real world. No other mechanism of spread need to be present.
Any reduction in interpersonal contact will reduce viral spread. Viral spread is is entirely probabilistic, depending on your number of contacts, how close those contacts are, and the length of time of those contacts. Even home-made masks will help by reducing the effective radius or high-probability contacts with asymptomatic individuals. Social intervention (government policy or public health recommendation) is the mechanism for communicating the appropriate behaviors to the public. So, unless you believe that NOBODY paid attention to stay-at-home orders, or to recommendations from public health officials, those interventions most certainly helped avoid wider and more rapid spread of the epidemic by reducing the number, frequency, and duration of human-human contacts.
I sense that you dislike social intervention in your life, but I don't think public health officials are taking in glee in the recommended reduction of your freedom. Magical thinking won't get us through this. If we do nothing to control viral spread, everything we DO know says that the result will be unacceptable. (We actually ran that experiment in NYC for just a couple of weeks until it was realized what was happening.) The virus is here to stay, and we won't be able to conduct our business like we did 3 months ago for a while. Reality bites, sometimes.
I, too, dislike everything about physical distancing: not being able to travel, not being able to have a beer with my friends, not being able to participate in sports, not being able to dine at some of my favorite restaurants, and not being able to network personally with professional colleagues. And I really, really hate videoconferences. But I also know my physical distancing will have an impact on what could otherwise be.
We need to prioritize our efforts in moving to a better situation, and that will require social interventions in the short term (because, there is like nothing else at the moment); testing, tracing, and maybe therapeutics in the near term; and a deployable vaccine in the long term. But this is really not a big secret in the scientific and public health community. Whining about how much we dislike policies won't get us there faster. (My parents were young adults during WWII. My grandparents lost their homestead during the Great Depression. I wonder what they would think about some Americans being apparently unable to cope after less than two months of physical distancing.)
I'm actually quite amazed by my local community in terms of our compliance and resourcefulness in the face of the pandemic. We are feeling a little cooped up, but after an initial outbreak of COVID-19 here, and the death of a prominent local citizen early in the outbreak, we have persevered and reduced our county caseload to low single digits per day, enough that we can start to contemplate life WITH the virus if we can test and trace, and neighboring counties can get their caseloads under similar control. So, in our little part of the world, yes, public policy made a real difference, and is overwhelmingly supported by the public.
I'm rooting for my fellow scientists in getting us through this, and leaving the magical thinking for others to contemplate. Disney's Law ("Wishing will make it so") still doesn't apply.