Your determination to blame feminism for men's problems blinds you to the lack of logic in your arguments.

Your original question--"Are they made to feel like an oppressor / privileged even before they come to terms with these words?"--implied there was a problem with boys being saddled with guilt for the historical crimes of the patriarchy and for the continuing existence of male privilege. But where would boys be exposed to those concepts? Schools, churches, sports, and government are dominated by anti-feminists, and people choose their own influencers in media and entertainment. Outside of intellectual circles, feminists have minimal influence.

"Where is the privilege here?" - The privilege is being born male in a system that regards male voices as more important than female ones, male labor as worth more than female labor, and female bodies as safe targets for male abuse and exploitation. Even abused males learn to use that privilege early in life.

"Do these men have to carry the cross of the crimes committed by few white men at the helm in the past?" - Are you serious? "A few"? "In the past"? At last count, women had achieved equal representation in government in between 20 and 30 countries--maybe 10% by count--constituting less than 1% of the world's population. And 90% of the violence in the world is still committed by men. The cross you mention is still squarely on the backs of women.

Feminism, in spite of what you are determined to believe, is not anti-male, any more than anti-racism is anti-White.