Doors to Automatic is very correct, I reckon this debate goes further than just BMI deciding to operate into BHD, like you say though there should be no problem with them operating in and out of BHD.
I worked there for 5 months and if there was one thing I reckon they could do to help all is to put parallel taxiways in because, what a pain in the arse it is if you are using 22 with a couple of inbounds having to vacate onto the GA parking area!