many theoretical computer scientists think our conjecture is false
Does that mean that you (plural) are either members of a theoretical computer science community or have discussed the conjecture with people that are? (I have no idea who you are or what connections you may or may not have with academia in general.)
Yes. These people are often called “disabled”, “retired”, or “children”. For example, a person with severe Alzheimer’s disease or schizophrenia is unlikely to be able to produce much of anything at all. Most people, if they live long enough, will eventually suffer enough damage from aging that they semi-voluntarily remove themselves from the labor force. Similarly, your average two-year-old probably isn’t going to be productively employable either, regardless of the wage, because it would cost more to supervise them than they would be able to produce. However, most people who are of prime working age and unemployed are not, in fact, disabled to the point where even in an ideal world there would be nobody that would want to pay them to do something.