It's not a paper or developer fail, but user fail. When processing two sheets of paper at the same time, you have to consistently rotate them so that they spend the same amount of time at the top and bottom of the developer tray - the movement of the developer is different at the surface than it is at the bottom of the tray. I always wear nitrile gloves when doing lith and will agitate for 10-15 sec, then flip, then agitate again, then flip. Some people do a constant flipping throughout the entire development process, even with a single print (didn't realise this was a thing, until I saw several people do it a lith printing workshop with Tim Rudman). Even when you do this however, there will still be a slight variation in the prints, as hand agitation and flipping is never perfectly even, but they should be close enough for testing/toning purposes.
Edit: If you really want them to be identical, either have a tray that is big enough to hold both prints side by side facing up, or, use 2 trays side by side for the same purpose.