Models are easily biased so they aren't going to be accurate unless you have large amounts of data. COVID modeling is going to be very imperfect because these factors. We are just getting to the point where we have enough data to make a decent model, so anything in the beginning is going to be way off. That's why we were seeing ranges like 25,000 - 250,000 for possible deaths. Now it's narrowing a bit, but we still need a lot more data.
I wouldn't suggest listening to anything a politician or an economist states as far as modeling for COVID. Both of those fields have completely different agendas rather than just raw numbers so the bias is inherent. Even ones skilled in statistics are used to different kinds of modelling. Even the best scientists can be biased (purposefully or not), so you are always going to find studies here and there that support what you want them to. Nothing is going to be predicted with certainty, so all we can do to get the best idea of what is happening is to analyze what the biggest majority of models are suggesting. Sure, that 1 out of 100 study could be correct, but it probably isn't and if it is, the other models will follow suit shortly thereafter.