Unfortunately it doesn't look like there is much interest in this which seems a great pity after all the massive threads on Ruituximab and the likelihood that many patients who have ME/CFS also are infected with borrelia!
It's a preliminary study in the area (still using mice) hence far from having a practical application, and the connection between Lyme and ME is quite theoretical. While it is potentially exciting, it's really still just a potential.
I'm also not sure it would directly tie in to Rituximab. The problem discussed in that paper regarding Lyme seems to be with the production of B cells as regulated by altered lymph nodes, rather than the circulating B cells in isolation. And since Rituximab (if I understand correctly) wipes out existing B cells but doesn't affect underlying production processes, and/or lymph nodes.
If anything, it might be an indication that Rituximab would not help in patients with an ongoing abnormal immune response due to Lyme. It seems like the underlying problem could still be present after B cells are depleted, and the malfunctioning lymph tissue would continue to produce B cells which react inappropriately to Lyme and/or other infections.
Maybe
@Jonathan Edwards has some thoughts on how that all might work, since he seems to know a lot more about B cells and Rituximab than we do