I typically work with Disable Line Weights turned on - it's one of my favorite feature of Revu. However, if you print with Disable Line Weights turned on the results often leaves something to be desired.
Currently you need to remember to turn off Disable Line Weights from the View dropdown before printing, then turn it back on once you finish printing.
My suggestion would be to add the option to "disable disable line weights" on the print screen - similar to the way that you can select to print the document with or without markups.