Are you (a) a sinner because you sin, or (b) do you sin because you are a sinner?
The passage from Ezekiel does not deal with Sin as a master, that is, of the Sin principle bound up with and originating from its transmission in the flesh by the union of gametes from the mother and father of the new soul's body. The sinful nature--the unavoidable propensity to commit sin--is passed from parents to child. That is "original sin."
However, the actual commission of a sinful act is done by the individual, for which he/she alone is accountable to God always, and sometimes to the community of humans. These are sins committed. That is what the Ezekiel passage explanation is about. The son is not held guilty for the sins committed by the father, singularly or in the whole; nor is the father held guilty for the sins committed by the son.
The answer to the above question is (b) you commit sins because you are a sinner. You are born with a sinful nature. Your sinful nature originates with, is transmitted by, your parents. You are not guilty of a sinful act until that nature comes into play, and you make a wrong choice.
Every human is sinful, and thus sins, but is accounted righteous only when God, the judge, imputes righteousness to the sinner when the sin is paid for with an acceptable sacrifice.
However, the person is still a sinner, and his body must die because of it.
Have a Merry Christmas!