Wolfram Workbench has been (almost) abandoned by WRI, and was lagging terribly behind Mathematica. Now with Mathematica 13 and accompanying PacletTools, the situation has been improved significantly. These are what I have found so far from a few days of tests.
Good-bye Workbench!
There are just a few issues I've found that I'm sure Wolfram will address, but knowing them might save others some of the churn that I went through thinking I wasn't doing it right.
Other than these minor issue, the new DocumentationTools work really well and generate seamlessly integrated documentation pages for Paclets/Packages. I'm in the process of converting a big project that was originally created under Wolfram Workbench and most pages build well with the new DocumentationTools.
I'm having similar success and the built documentation very nearly matches the 12+ Documentation Center formatting. This is a HUGE step forward.
Note that the new PacletBuild performs the PacletDocumentationBuild + CreatePacletArchive all in on step.