I find P&G detergents the hardest to rinse out in our soft water. Persil is ok and have been using Halo Sports wash too which rinses out well. I was checking there website and they have a "low bubble" non bio liquid, may be worth a try if you are having trouble.
I use Foca with phosphates. Wow does that do a good job in the wringer machine and does rinse out well. The towels have to be rinsed and rinsed but then I think that would be with anything that was used.
We use Laundri Brite from Ecolab. It washes heavy greasy soils very well even with the dumbed down hot fill on our machine and no phosphates. It rinses away quite well even in cold water.
Nick WK78