Final answer:
The concept of crossing over introducing genetic diversity does not apply to mitosis, as mitosis produces two genetically identical daughter cells. Crossing over occurs in meiosis, not mitosis, which means the statement in the question is false.
Step-by-step explanation:
The question addresses whether crossing over between sister chromatids during mitosis would increase genetic diversity. The answer to this is False. Mitosis is a process of cell division that results in two daughter cells that are genetically identical to the original parent cell. In mitosis, the DNA is replicated during the S phase of the cell cycle and then divided equally, ensuring each new cell has the same set of genetic information as the parent cell.
Crossing over is a process that occurs during meiosis, not mitosis, which leads to genetic diversity in the resulting gametes. During meiosis, homologous chromosomes exchange genetic material, which contributes to genetic variation in sexually reproducing organisms. If crossing over happened during mitosis, it would indeed introduce genetic diversity; however, mitosis is strictly the replication of cells without introducing such variation. As such, the idea described in the question does not apply to the process of mitosis.