While I practice single hand spey often and belgium type casts occasionally, I get some twist but not huge amounts. I try not to let it build up and I manage it in the way I clean my lines.
Assume the two bucket method is being used and line is stripped from one to the other. I clean using wet wipes - hand soap in the first and water only in the second. Then I dry using a microfibre cloth. For floating lines I then apply at least one treatment, allow it to rest awhile and then buff off. All this means a quite a lot of travel between buckets.
I only ever clean, wipe, dry, apply and buff in one direction - from the reel end to the leader end of the line. Secondly, as I strip the cloth hand goes high and the line hand stays low. A slight pause at the end of each strip will see the line untwisting between the high (cloth) hand and the bucket. Clamping pressure with the cloth hand is enough to do both jobs but not enough to produce heat damage to the line.
Years ago I had a house with a high balcony. Dropping the line to the ground and stripping back up through a cloth dealt with twists quickly and very effectively. The idea stuck.