I would say no, but if your match wishes to assert that, then ask him to show how he believes you are related, and provide his evidence of a documented paper trail to support his claim.
I manage my brother's test. Obviously, as we are brothers, any matches that we share or each have are related to both of us in the same way. I could provide plenty of instances where I have a match to a cousin but my brother doesn't, and vice versa. We also have many matches where the amount of DNA that the match shares with each of us is quite different.
One example, a second cousin who matches me at 226 cM across 7 segments; largest segment 118 cM. The same cousin matches my brother at 131 cM across 8 segments; largest segment 40 cM.
As you have previously stated, you have a documented paper trail for your match as 3C1R. Your match is pretty much on the mean value for a relationship at that level. But anywhere between no DNA match at all to 192 cM could also be consistent with that relationship according to the cases used by DNA Painter.
DNA inheritance is random. You inherit about 50% of your DNA from each of your parents, as would a brother or sister of yours. But it doesn't mean that they would inherit the same DNA from each parent. You could theoretically inherit only 1% of you paternal GF's DNA and 49% of your paternal GM's. Similarly with your maternal grandparents. Your brother might inherit 49% of your paternal GF's DNA and only 1% of your paternal GM's. An extreme example, in practice the variances will not be as great, but with each generation that you go back the imbalance will likely increase as more GG parents, GG grandparents, etc. DNA is added to the mix and similarly randomly inherited from their parents.