There is really no reason why we should not permit the phase plot mode observation list to be saved, just as raw mode observation list can be. Of course, you won't able to open such a file via e File -> New Star... menu item since the first column is phase.
It really should be permitted. Of course, you can copy and paste the rows as a TSV file now but that's not obvious.
Thanks to Katy from the 2014 VStar CHOICE course for reminding me about the need to do this. I thought I had a tracker item in place already but didn't.
Diff:
Implemented in 2.16.10-RC1 along with other related changes/fixes.