Maas,
The solidifying / backing away in the corners is due to fountain solution traveling back up the ink train. More water tends to be run on the outside edges of the plate, this water overtime transfers back up the ink train to the ink fountain. Since the ink in the corners of the ink fountain doesn't get used, in most cases, it takes up the water and becomes emulsified. When magenta ink emulsifies it will loose its flow and body up. I would avoid, at this point, adjusting the ink to take up less water as this might create a different set of problems.
You may be able to eliminate some of the problem. I recommend that you check the durometer of your ink and water form rollers. If they are within the manufacturers specification, check and adjust the rollers to the manufacturers specification.
I am not familiar with the Q7 fountain solution so I can't comment on it. Also, you state that the solution is neutral. When you say neutral do mean that the mixed fountain solution measures a pH of 7.0 ?
In my experience magenta ink will perform best at a pH of 4.5 - 5.5.
Good Luck!
Bob