There is a recent (last week) thread about this very problem in the Fuji X forum on dpreview with images showing the issue and results using different converters. Photo Ninja appears not to have this problem, apparently you can import the Fuji raw files into LR (do not convert to DNG) and use PN as a lightroom plugin (covert Raws and save to tiff). Others use Capture One. I only recently got an X-E2 and saw some demosaic issues in LR and got a trial key for NN, but have not yet put it through its paces. First impressions are that it avoids the LR edge issue and is a competent raw converter. I likely would do basic tone adjustments and lens/perspective corrections and fine tune and do local adjustments in LR. However, from what I hear, some Fuji images convert just fine in LR, so maybe I will be able to do the bulk in LR. I am still feeling my way on the issue. Hopefully Adobe will further develop the Fuji conversion, since the Trans-X sensor cameras seem to be getting wider adoption. (Eric, are you reading?)
[edited to correct Photo Ninja name]