I'm pretty sure that's not true in the world of typography. Cursive there afaik mostly means that it has a ton of ligatures (i.e. a ton of "sorts.")

Fonts that are decorative, when I worked in prepress, were simply called "decorative." It just meant "not for body text" i.e. hard or annoying to read. I assume in the past it meant "don't buy a ton of these, and none in small sizes" because you weren't ever going to be putting a bunch on a page.

Even like this where it's not just not 'joined-up', but not even independent cursive characters? This is just printed characters, as GP says, this seems particularly relevant because I'd think the hardest part of doing this with cursive handwriting would be all the combinations of the ways different letters flow together - if you restrict yourself to independent characters then you remove that problem.