All I ever use is artist's acrylics and water so I can't speak for the other methods. I am pretty careful about getting the mixture in the vicinity of the panel lines I'm washing . Building 1/32 aircraft I'd spend more time getting it off than anything else if I didn't.
When I had a similar problem with acrylic and water I found that adding a couple of drops of vinegar or Liquitex Flow Aid to the mixture helped a lot (thanks to Swanny and Domi for those ideas). Also note that I don't use normal model-type acrylics but artist's acrylics. I've used modeling acrylics before and they worked OK but the artist's acrylics seem to work better. I personally use Golden brand acrylics, but the others should work well to.
Here's a link to my method:
http://www.craigcentral.com/models/wash.asp
and here's a link to Swanny's method:
http://www.swannysmodels.com/Weathering.html
Both of them use acrylic and water.