Confessions ll is the perfect title
The album is a spiritual successor to COADF, not a purely sonic one. Both were made at a time where her previous album and artistic vision were heavily disliked (I'd argue the reception to Madame X was worse, not even her fans liked it) and her relevance was being called into question. Not to mention the uncertainty in herself that she overcame while making C1( due to the public and Guy Ritchie/Satan) and C2( public perception, relationships with her children, insecurity with her appearance, etc). Both also started being made initially on a tour–both coincidentally being tours that look at her whole back catalog, if I am not wrong. There is a reason Stuart said what he said about the name.
The point of COADF and C2 is dancing your struggles away, not whatever sonic identity she and Stuart might have chosen, in my opinion.