I don't think your H knows what do do, how to be. I think he's possibily scared of depression, so is trying to chivvy you along somehow.
It could be that for him, going to the Dr concretises it, makes it real, and he doesn't know what that means.
He probably just wants you back, he wants the depression to go, and going to the Dr, saying you are suicidal is signs to him that it's more serious than he knows what to do with.
If you can, try to reassure him that this happens to many people, 1 in 3. That it's the psychological version of catching a cold. It's nasty, it's distressing, but it IS beatable. Hard work, but doable. That said, it IS a serious illness, it can be life threatening, which is why treatment, doctors, drug and talking therapy are vital.
Tell him that 'This will pass' with his help and support and TRUST, it ought to pass faster, so you need him to keep a cool head. That he can talk to you about it, that you are scared too, and that it's OK to be scared.
If he has questions he'd like answered, suggest he comes to the Dr with you one time, if you'd like that.
Agree with Sand, CBT is fabulous, literally saved my life. For me, no drugs worked.