What are the differences between these Crossover tropes?

I was reading the Crossover Index page, and would appreciate it if someone could point out the differences between these types of Crossover:

• Bat Family Crossover
• Crisis Crossover

Would The Defenders (2017) that aired on Netflix count as both tropes? Also, would an appearance by Black Widow in Agents of S.H.I.E.L.D. being integral to the plot count as a Character Overlap (and presumably, The Other Darrin since I don't know if they'd use Scarlett Johansson, unless they had an In-Universe explanation for her looking different).

Equally, could an appearance by the main characters from The Defenders (2017) (Luke Cage, Jessica Jones, Daredevil, Iron Fist) in Agents of S.H.I.E.L.D. for 8 episodes out of a 22-episode season count as a Crisis Crossover or Intra-Franchise Crossover?

If anyone could help, I'd appreciate it; I'm going to try and give that index some definitions like Morality Tropes does.

edited 28th Apr '18 4:05:48 PM by Merseyuser1

If anyone could answer, I'd appreciate this!

Bat Family Crossover contains characters from a "series" (for example, the Captain America series)

Crisis Crossover contains characters from multiple "series" within the same "verse" (for example, the Captain America, Iron Man, and Thor series together within the Marvel "verse").

edited 1st May '18 4:02:20 PM by RAlexa21th

As I understand it, Bat Family Crossover refers to a crossover between characters that are closely linked, usually meaning they come from the same series.

That's the gist.

They tend to be similar in form or function as well.