Just arrived, in a "burn-in" phase now.
Got an interesting deal due to some circustamces with Shozy, and so I pulled the trigger!
I am using them mainly at work, together with Shozy Alien+ (standalone and as a DAP + PC) + Aune B1s.
Very first impressions: comfort is stellar! Bass a tad too much for my taste, but representation in general is good, I believe they love to be amped though since I can feel a huge lot of difference when going Alien+ alone or stacked with B1s. Separation gets fantastic when stacked, and bass are a bit more refined.
I own both, I agree on the "leaner", IT04 it is to me more refined and detailed despite being perhaps a bit less "emotional": to this sense I feel BH being more colored, more "grand" in terms of sound except, as audio123 already wrote, soundstage is maybe a bit more intimate with BG.