It's not reconciliation. It doesn't mean he's in the A either. At the very least though it means he's trying to rugsweep without owning his choices and his actions.
MrH did this after the 1A. He was more caring and loving after the 2A...you see there was another A? Well, that's what tends to happen when you rugsweep rather than deal with the issues.
The second time I initially thought I was in R. He was honest, transparent, seemed to care for me...but he still didn't do the work. I've been in limbo for years and he's just now doing the work since I outed some of his behavior to my IC and our MC. I could only get there by working on myself. That's when I could see I can't do his healing for him...and any WS needs some sort of healing from whatever caused them to be selfish, entitled and destructive enough to cheat. I also now see I don't need him as he is and if he doesn't catch up, I'll be ok moving on.
Re: not moving out of the house, maybe ask in the S/D forum about how to act during on-house separation. My guess is you start with the 180. "Being in love" first moved them to promise fidelity: this quieter love enables them to keep the promise. *CS Lewis*
❣Your soulmate is the person who helps grow your soul into a better being rather than tearing it down❣