I have both but the Balugoe suit the fit a of the bike a little better. The bike they’re on is a Cervelo S3 with SRAM AXS rim brake shifters which are super slim with a narrow transition from bar to shifter.
I mention that as the dip in the Bikedoc bars just didn’t work with them very well and you get a hard ridge.
However, the Bikedoc bars are excellent with regular AXS hydraulic shifters.
Both are exceptionally well made for the money, and are stiff enough for the vast majority of people.
I don’t think you can go wrong with either.
One slight negative for the Balugoe is the little aero cable covers which bolt to the back. They’re hard plastic and a pain to fit. Would make more sense if they were rubber. Minor point, but worth mentioning.