Considering that Tukiyama-dono and Tokuhime stayed in different castles and it was the time when having concubines was broadly accepted, it is hard to believe that it became a cause of discord between a mother-in-law and her daughter-in-law.
が、築山殿と徳姫は居城が別であり、また側室がいることが当たり前の時代においてそのようなことで嫁姑の仲がこじれたということは考えにくい。