My '01 TJ with 85K miles never had DW. All stock, I put on Bilsteins at about 75K and it just made it handle better.
My '06 that replaced the '01 came with DW. It appears '04 up uses a different steering box and the mounting makes slight changes to the steering geometry.
The DW I heard about on '03's back was TJ's with suspension mods.
You might look at the track bar joint where it fastens to the axle. On the right hand side on top the axle, a bolt and rubber bushing fastens the trackbar to the axle. Have someone move the steering back and forth to see if there is any play between the axle and the trackbar. Sometimes the bolt and bushing becomes worn. If there is play, replace the bolt, busihing, or trackbar.
My '01 had a stock steering stabalizer at 85K miles. It had better resitance than the stock steering stabalizer on the '06 at 22K miles.
To fix the '06, I had to go through wheel balance, complete alignment, a new track bar, one tie rod end and a heavy duty Rancho steering stabalizer. (Jeep's fix for DW is a heavy duty stabalizer).
I bet you '00 will be fine