Abstracts are good if you want to see the highlights, and decide perhaps, whether or not to read the paper. However, if you are going to start making definitive arguments, it's necessary to read the papers. i have done that, and come to the conclusion that the magnetic field explanation for galaxy rotation curves remains dubious.
A two-dimensional model of magnetohydrodynamically driven rotation of spiral galaxies without dark matter, Battaner & Florido, Monthly Notices of the Royal Astronomical Society 277: 1129-1133, 1995.
This is the paper cited by Orion38. In this paper the authors conclude as follows: "
The main conclusion is the confirmation that the magnetic support hypothesis may provide a way to explain the rotation curve of spiral galaxies, without invoking the existence of dark matter." However, on reading the paper one finds that there are no sample rotation curves presented. All of the discussion centers around the flaring of the disks.