OK, there are lots of questions in this thread, I am trying to answer them one by one:
Q1) Why shouldn't I ignore the Archive pages and just build an "Archive" with a Single Page and View?
Again, in the single page, please try normal post view, in the WordPress Archive page, please try Toolset WordPress Archive, please check the answer above:
https://toolset.com/forums/topic/when-to-use-a-view-vs-an-archive/#post-2125953
Q2) Does an Archive page have a particular focus/strength for displaying taxonomies? If so, what in particular?
WP Archive page is for displaying post lists, that is built-in feature of WordPress, there isn't any particular focus/strength for displaying taxonomies
Q3) Does a View offer more flexibility with regards to the scope of posts that can be included (can include multiple types, filter them better, etc...) or ability to work with other features (say, having a map driven by the posts displayed in the view loop?)
You can add filters into Views query, see our documents:
https://toolset.com/documentation/user-guides/views/filtering-views-for-a-specific-text-string-search/
https://toolset.com/documentation/user-guides/views/date-filters/
https://toolset.com/documentation/user-guides/views/filtering-views-by-custom-fields/
https://toolset.com/documentation/user-guides/views/filtering-views-by-taxonomy/
You can also add custom search form into Views:
https://toolset.com/course-lesson/creating-a-custom-search/
Q4) Is an Archive Page is just a specialized View for displaying ALL posts of a certain type or taxonomy while a View is meant to be used in a more "custom" fashion - with a narrower or broader scope of displayed posts - and embedded within a larger page with other features?
There are lots of WordPress Archive page:
- Post type archive page
- Taxonomy archive page
- Search result page
...
Each archive page is for different usage, you can also add custom search form into the Toolset WordPress Archive, but it will outputs belongs to current archive page, it won't output results of other archive page.
For example:
In the archive page of post type "cpt1", it won't output other post type posts.
Q5) which you confirmed when you said "It is not recommended to use normal post view for it, that will conduct unexpected results."
For example, some AJAX feature of normal post views won't work as expected in WordPress archive page.
Hope it is clear by reading above documents.