No don't trim them. I'm sure the wrinkled leaves are from the dead root area but the wrinkled leaves and pbulbs will still supply needed nutrients to the new growth. Once the entire old growths turn brown sticks, trim them then.

All the new growths will come with new roots and you plant should return to all of its glory.

Brooke

What highjack says. Also, check to make sure the rhyzomes aren't planted too deeply. They should be half in, half out of the medium. Too deep can choke them to death.

The plant looks dessicated. And this could be from a number of reasons, but usually lack of a healthy root system. Overwatering can can cause loss of roots. Inconsistent watering where the plant receives not enough water for long periods. When potting media breaks down, roots can rot. To encourage new roots, raise the humidity (mist the plant) but allow the potting media to dry out (not completely) between watering. Often, simply placing a plant in a clay pot with a few chunks of charcoal and raising the humidity will encourage new roots. Foliar feeding of by spraying the plant's leaves with a solution of liquid seaweed can help. Vitamin B1 known for years as a root stimulant has now been proven to be ineffective. Spraying the plant with MegaThrive is supposed to help stimulate auxins to promote root growth.