The authors demonstrate that the probability of finding a new job can be higher in a high unemployment region than in a low unemployment one if the former has a higher rate of employee turnover* than the latter. As such, the theory that it is harder to find work in regions of high unemployment is not quite true.
*High turnover means more available job positions, hence better chance of getting one.
I wrote this. Person A argues that "not quite true" is just bad writing. They say that there is no such thing as "not completely true", that a statement is either true or false. I wanted to convey that that theory is a presumption, in reality it surely can be the case that workers can easily find work in high unemployment regions (depending on the turnover rate or job vacancy rate).
Question: Is Person A correct in pointing out that there is no such thing as "not completely true"? Should I instead say "is not always the case"?