Will GM for Beer
You're not alone. I discovered this about myself in an otherwise groovy game of Delta Green right here a couple years ago (where the GM was doing all the rolling - again, not black box, but still disconnected). Everyone else was fine with it near as I could tell, but it bugged me to no end (enough that I left the game fairly early).But, of course, this is just me. Not every style of game is good for every player.
I think for people who are primarily in it for the story aspect it would go off without a hitch. For them anyway. It sounds like it could end up being brutal intensive on the GM. Enough that I'd consider enlisting a co-GM to handle part of the load.