I don't know what you mean by "fact", but your vote certainly holds less proportional power to influence a politician than that of 1/(population of the us). Politicians straight-up don't care about your opinion unless you can show up as a meaningful horde, and judging by the reaction to the Israeli invasion of Palestine that doesn't hold much water either.
I guess I read your comment as contradicting itself by the phrase "the power" rather than "the illusion of power", especially since the american public is so easily distracted by petty squabbling, whereas capital is emphatically not easily distracted but extremely focused on what it wants.
Anyway, I don't mean to start an argument over the power of voting, illusory or no. We all have opinions about the value of voting that we hold rather tightly given so much emphasis is placed on it as the center of the political power we do hold.