Absolutely not. If sin is inherent in any way and unavoidable then we are not culpable. “I can’t help it!” becomes the mitigation. We must be culpable for our sin otherwise there is no need for forgiveness at all. If it is not your fault then you do not need Christ.
And Christianity relies on repentance as much, if not more than the act of sacrifice. Other religions rely on the ability to comply with whatever regime their faith demands. You would claim that such an approach is both futile and impossible? Why?
I want you to tell me why God would make it impossible for anyone to be righteous without His help? Because for Original Sin to exist, it must be by God’s will. It goes against everything we know and believe about God. (or at least everything I know and believe about God).
Free will is the ability to choose your actions be they good or bad, with no restrictions (or consequences) And that includes the threat of heaven or Hell. What you believe is not free at all. You are claiming that it is impossible not to sin. And you are (probably) claiming that there is only one way to live. That is dictatorial, regimental and oppressive. (no wonder so many find Christianity wrong)
Richard