Trains generally run eastbound on the former WP, westbound on the former SP on the paired track between Weso (near Winnemucca) and Alazon (near Wells). Paired track, directional double track and multiple main track are all related but all slightly different. Paired track is usually running directionally on two separate (or formerly separate) railroads, like the ex-SP, ex-WP paired track arrangement in Nevada, or CN and CP through Fraser River Canyon in BC. Double track is on one railroad's ROW and where there is a "current of traffic". Metra and CP's ex-Milwaukee Road line between Chicago and Milwaukee used to be directional double track at least until fairly recently. It may be 2 main track now, I don't know. It was excruciating on the Empire Builder when it missed its Metra slot and was stuck behind an all stops Metra commuter train and was unable to get around even though there was little traffic coming the other way.
Much of the Santa Fe was left hand running double track through New Mexico. It is now 2 Main Track, but the old Santa Fe ATS is still only for directional running so the Southwest Chief can only run 90 if they put it on the correct main. Most BNSF dispatchers do, though.