I was wondering if a pair of planar headphones comes close to the sound signature of a planar speakers, I’m looking at a pair of headphones in the $1000 range.
No. In my experience headphones are just a totally different experience than listening to speakers regardless of the technology. That said, I really like my Hifiman Arya Stealths that are now available right in your price range…
If you can stretch to the HE1000 Stealths at $1399 (also on sale now) I think it’d be an extra $400 well spent. Of course you’re gonna need a good headphone amp to get the most outta either of these if you don’t already have one. Hope this helps, and best of luck.