I'm sorry you're struggling in your marriage. That sounds like such a difficult situation.
For me the answer is an unequivocal absofreakinglutely not!! During year 1 with t I told her how once with t2 I had brought my mother with me to a session and how that didn't help at all because she just sat there and lied her face off, and current t said something like "This is sacred space, your space, I wouldn't want anyone else contaminating it, not even your h." I so agreed with her and I still do. MY time. Nobody else gets any of it!
(Could my marriage benefit from actual marriage counseling? That is a resounding yes, but h refuses to consider it, and my t doesn't do that anyway.)
eta: what's interesting to note: is that when I initially had my breakdown back in 2009 I think it was, my h was really supportive and went with me to my first pdoc appointment, I was a mess, I don't think I could have driven myself there anyway even if I'd wanted to. And as I sat there in front of pdoc's desk sobbing uncontrollably barely able to speak, h jumped in and told him everything that had been going on and I just sat there nodding my agreement with him. I never would have made it through that very, very dark period of my life w/out my h. He was my rock then. Now, not so much. But I won't hijack your thread with that story!)