I totally understand your feelings, however, I can also see your T's point of view.

I work in a "helping" profession (law enforcement, not therapy) and I used to respond to every last email, voicemail, etc while on vacation. Now I just want to unplug and unwind and not think about any co-workers, clients, etc. Sometimes I moonlight as private security for people - I have this one particular client who has a family filled with drama - they all have restraining orders against each other and it can get confusing about who can go where and when and who else can be there. The police ended up at every family function until they started hiring me. Unfortunately, they had a family death the last time I was on vacation and they desperately needed me provide a security presence at the funeral. I didn't answer even though my client called me tons of times. I felt bad about it but I would still do the same thing over again. It was absolutely nothing to do personally with my clients but more about restoring my sanity with some off time.

Sorry, it's a long-winded way of saying that I think it's about your T needing to have some true time off of work and not in anyway about you.