Is one carryover more valuable than the other or are they equally valuable?
If you have both short-term and long-term gains next year, and their total is more than the loss carryforward(s), then
a short-term loss carryforward is taken first against the short-term gain, and the remainder if any against the long-term gain
a long-term loss carryforward is taken first against the long-term gain, and the remainder if any against the short-term gain
Since (uncancelled) short-term gain is taxed at ordinary income rates while long-term gain is taxed at lower rates, if you can't cancel both, it is more advantageous to have the short-term carryforward cancel at least some of the short-term gain.
In other situations there is no difference.