Hello!
If you truly rely on those features, then I suggest sticking with Yoast SEO.
To answer your questions briefly, it would be no; those features aren’t implemented in The SEO Framework. Below, I’ve listed the reasons why.
Category base removal
WordPress has bases in place as posts and terms are separated entities. When you remove the bases, the URLs can collide. This needs to be worked around preemptively; and, since this is a plugin, we can’t do this reliably–it is, therefore, a source of bugs.
WordPress also supports the baseless version out of the box. Although, the (unaltered) canonical URL points to the one with the base.
Users don’t read URLs as much as many believe they do; they use bookmarks, breadcrumbs, and search engines, instead.
Finally, this feature doesn’t help with SEO. Yoast also stopped promoting this feature; I think they also recognized it has no benefit.
Display breadcrumbs on pages
The SEO Framework outputs a breadcrumb script for search engines to consume. This breadcrumb is representative of your website’s hierarchy, and it’s therefore valid–as long as you don’t manually edit it.
Offsetting this for front-end display isn’t the purpose of The SEO Framework–it’s ultimately only overhead that should’ve been initiated and styled by themes–or now, since Gutenberg is available, via the block editor. But, that block editor only spawned recently, and it isn’t yet where it’s supposed to be for us to embrace such functionality fully. I expect this to be possible by next year–even natively through WordPress.
Until then, there are other plugins available that fill in the visual representation for breadcrumbs, which won’t conflict with The SEO Framework as it dominates via the JSON-LD standard. I believe some of those plugins can do what you’re asking for.
Unfortunately, visualizing breadcrumbs is a feature that is prone to lessen your experience: theme incompatibility, word breaking/wrapping, positioning, etc. For now, this is better left for a dedicated plugin. Because Yoast SEO is a thrust, they can pull features like these off, as theme developers will have to comply. Nevertheless, this feature is under consideration: https://github.com/sybrew/the-seo-framework/issues/276
In The SEO Framework, I want to avoid all source of bugs and only send out what’s truly necessary for SEO, in the best way I could possibly conceive. With that, I understand that this wasn’t the answer you were hoping for. Nevertheless, I hope this explains the lot. Have a great day!