Katchie,
When I first came to SR in 2008, I had just found out about exA's cheating. I was totally lost. I posted in the A section of SR to ask for answers about why an A who claimed to be getting sober and in AA would change partners so abruptly to a hard drinker.
Several people told me that when they got "caught" in their lies, drinking, etc...they ran. They said they changed either locations (where they lived) or partners to escape the responsibility and accountability of their bad (aka drunken, lying) behavior. You mentioned you felt like he is/was running and I know your feeling well.
You will be alright regardless of what happens. Just keep your eyes open, take what he says with a grain of salt and keep seeing your therapist.
Hugs