Two poets I like have interesting things to say about a new kind of confessional poetry. In both cases, they happened to be talking about my poetry, so yeah, it's kind of interesting by default to me, but I like to think these ideas are compelling in a general sense. I cut my teeth (god, I hate expressions) on confessional poetry (Anne Sexton, John Berryman) so I do see myself as being influenced by, or an extension of, this school.
Here's Leigh Stein (I think she wrote this in a comment somewhere; this was quite a while ago but I copied and saved it for future reference):
"To me, 'confessional' writing suggests a vulnerability. It isn’t just telling the truth, reporting the facts. Like watching a striptease vs. going to a nude beach. I haven’t read enough contemporary memoirs by female authors to comment on that vein, but I know in poetry I go for what I would call a post-confessional slant…the truth, but disguised by lots of false threads and humor and smoke and mirrors. I think Ellen Kennedy, Elisa Gabbert, and Dorothea Lasky do this well."
And here's Heather June Gibbons, in a personal email (I hope she won't mind):
"I appreciate the poem's willingness to make potentially unflattering, difficult observations. A kind of new bent on confessionalism, perhaps? But conceptually-driven as opposed to ego-driven, a sort of conceptual confession."
I like these theories. If asked to describe my own work, and its relationship to the self and the truth, I would have cooked up something similar (I'm in there, my ideas, my feelings, my memories, but I only include any element insofar as I find it interesting, so true things that aren't interesting get left out, while interesting things that aren't true take their place), but I wouldn't have thought to characterize this mode as a variation on confessional poetry. Thanks to Leigh and Heather for the catchy branding!