Are planar speakers less prone to room interaction

Ok, here's my situation: my listening room is nigh untreatable, due to room issues and wife factors. The room itself is 30' x 15', with windows on one side and it opens up into the kitchen halfway down the other wall. The back wall partially lofts into a 18' x 15' bedroom. The ceilling is 14' high.

Just due to volume and the insanely varied surfaces and general asymmetry of the room, I'm not sure what I can do to contain the room interactions that I have to deal with. I have some home-built acoustic panels high up in the adjoining kitchen to contain the standing waves that would develop there, and that helped but I'm not sure the wife will let me put up any more of the things.

My question: are planar speakers less prone to room interaction? It seems like they would be, simply due to the dispersion pattern. I've always coveted Martin Logans (and used to own and love a pair of Maggies) so I'm certainly open to the idea.

Second question: how do electrostats do in large rooms?
I just bought some used Innersound Kayas because they are designed to not interact with the room like most speakers. They work great in my 15x13 room. They sounded great in the much larger room of the dealer i bought them from also.

Innersound is out of business but Roger Sanders the designer is back in biz. The new company is called Sanders Sound. Roger will still provide service for Innersound speakers.
Also Innersound speakers and Sanders Sound speakers are more directional than Martin Logan because the panels are flat. The compromise is a small sweet spot but much less room interaction at mid to high frequencies.
Here's an interview of Roger Sanders by AudiogoN at The Show...

Sanders Sound hits the Sweet Spot