To your question, simple answer, no.
I think it might help to know what you consider to be the sound of planar speakers. I have both planar speakers and headphones and I don’t find that the sound of the planar speakers translates into anything that I hear on my planar headphones. The sound of the speakers is heavily dependent on your room and set up. Not so much for the headphones, if at all (but your choice of a HP amp can make a big sonic difference). FWIW, my room is not optimum for planers, or electrostatics, speakers for that reason I have (as you) forward firing boxes. I haven’t heard all of the available planer headphones so I don’t know how much of that design adds to their sonic value, but found prefer good quality 'ordinary' headphones. And I think this preference is base on, as much as anything else, synergy and the choice of the amp.