I'll channel Jack T B here and say that your H doesn't have to insist the EA is over if there are no questions, demands, accusations, raised eyebrows, etc.
I think we feel the same in that if our H's care enough to do what they are doing for us, we must have some control/power over the EA escalating to PA. or some responsibility. or something we can DO for gosh sakes.
The MC is basically now doing IC on H. H wants me there. He says he wants to be connected to me and refers to EA as unhealthy. He wants to figure out what happened so it won't happen again. He has stated he is almost sure he doesn't want to pursue a "real" relationship with OW. (However, the not-real relationship continues and the "unwinding" is glacial slow). There is no direct discussion of the A at this time.
My IC says we are working on the marriage even if H says he doesn't know if he wants to. She tells me it's not linear and literal.
I'd say with your H, he is essentially 1/2 out the door, so if you still want a shot at an M, validate, appreciate, seek to understand.