I have two suggestion about them:
a) let them keep their stats, so they have more chance to find a good home
OR
b) let their heritage be wiped-off, just like that of chased lionesses. As an option (though I'm not sure if it's possible technically): let their parents' pages keep showing them as their cubs, but cubs' page will not show parents.

Some players value stats, and some value clean heritage. Wiping-off cubs' stats and keeping their heritage basically makes them almost useless for both cathegories, especially when you can always go to the TC and find yourself a cub for almost any taste for cheap price and often with much more decent stats.