I'm kind of at the same place. My H is saying ILY (even first) more often though. At first, he would say it and I could look in his eyes and feel he didn't really mean it. I got the "I don't love you like that anymore" numerous times. I finally kind of stopped saying ILY all the time this last time we started working on putting our M back together. If you look at my last post on my thread, you will get more insight on how I'm feeling right now and you may be feeling a lot of the same things.
My best advice is that they (our H's) took a long time to get to the "I don't love you like that anymore" and the D place, so even if they say they want to work things out, it is going to take them awhile to get 100% back into the R. Patience is not my strong suit either, but you have to be very patient and just love him. Work on you and the positive changes you feel you need to make in the M. Mine have been actually making sure I spend time with him after the boys go to bed, watching movies on weekends, talking to him about his day, his work, etc. Showing him constantly that he is loved and by ME.
My H never did move out. You and I are lucky to be in the place we are in, but we certainly don't want to ruin it by pressuring them. You are very lucky that he is willing to go to counseling. My H thinks it's a bunch of crap so I'm muddling through this on my own, w/ this forum's help of course.
Me: 38 H: 35 S4, S5, S10 Bomb 01/07 Wanted D - nothing would change his mind Numerous A's prior to D bomb; EA prior/during D bomb Piecing 04/07 Deployed for a year 05/07 Still Piecing 2010 M 11 yrs 05/10