Here's what I would do. I would use fine grit sandpaper on the inner ink marks. See if they go all the way through. It doesn't look like they are that severe! Then I would dunk. My rehab bags' ink blots tend to look more like this. (First pic).

I had a Casey with an ink mark that already showed on the outside, and I dunked. It did not spread. (Second pic). Good luck! ETA: I've read here that people soak their bags for 15-20 minutes. I don't do that. My dunks are 5 minutes, tops! Maybe you should do a quickie dunk. I don't know if that makes a difference in how "loosened up" the ink might get.