In Season 3 Episode 9 we see that
after slaying her own father, Historia gains access to his memories.
According to Season 3 Episode 6 and Chapter 89,
titan shifters are able to see the memories of their past and future holders. (read here for explanation)
Historia, however,
has, up to this point, never possessed the power of the titans.
But we do know from Season 2 Episode 5 and Season 3 Episode 2 that
she has blue blood which means she can use the Founding Titan's abilities to its full potential. (not exactly full, but at least more than Eren)
Is there an explanation for this?