Windows 11 Pro 22H2, and Start11 v2.0 BETA 1.02. It's been rebooted since the installation of Start11 v2, and I'm using a Windows 10 style start menu in case that makes a difference.
At least for me it's not opening to the last page used as NarusegawaNaru reported - if I set the page to use, the start menu will always open to that page (I can move to another page with no problem, but next open will be back to the one that I set); it's just not preserving a different page-to-use per virtual desktop. I also get the breadcrumbs as NN reported, but I interpret that as just normal breadcrumbs with a "you are here" indicator that looks like a page.
Oh, and before I forget - I think it is just incredibly awesome how I came here to suggest a feature and it turns out it's already there (even if it's not working right for me; hey, this is a beta!) Stardock always seems to have, anticipate, or be working on the features I want before I even figure out I want them.