Why the princes in the tower are staying six feet under

[HooptieWagon]

8. Through the female line,

testing mitocrondrial DNA is very accurate. That is how scientists were able to positively indentify Richard III's remains, by comparisons to two living descendants through 17 generations of females.
Scientists have even been able to trace all humans to a single female ancestor they call "Eve", through mitocrondrial DNA.

Regarding the OP, the decision is understandable. If living relatives through the female line were discovered, confirmation of the remains of the alleged princes could be made. This would not identify who killed them, however. And if the remains were not those of the princes, what to do with them is a good question. I would be in favor of testing them, though. I love a mystery almost as much as history- and that would be a fascinating story.