Why can't ESL's be sited close to the rear wall? Is the problem to do with sound reflections? If so, surely you could place something super-absorbent as close behind the speakers as you like, as the sound won't be reflected back. Something like large picture frames with something thick and woolly attached. Then you can hide as much absorbent stuff behind those panels as you want - it's just a dead space anyway. Should be cheap and easy enough to do, then try an A/B comparison with the out-of-phase thing.
I just dropped in, to see what condition my condition was in
T/T: Inspire Monarch, X200 tonearm, Ortofon Quintet Blue. Phono: Project Tube Box CD: Marantz CD6006 (UK Edition); Amp: Musical Fidelity A5 Integrated.
Speakers: KEF Reference 3, REL T9i subwoofer. Cables: Atlas Equator interconnects, Atlas Hyper 3.0 speaker cables
T'other system:
Echo Dot, Arcam A75 integrated, Monitor Audio R852 MD speakers
A/V:
LG OLED65 G56LS, Panasonic Blu Ray, Sony a/v amp, MA Radius speakers, REL T9i sub.
KICKSTARTER: ENABLING SCAMMERS SINCE 2009