Does Cloudformation support update links?

Question

To help people create a Cloudformation stack, I can generate links to parameterized Cloudformation templates: https://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/cfn-console-create-stacks-quick-create-links.html

Question: Is there a way to generate another link to update the previously created Cloudformation stack?

What I tried and what doesn't work:

• I generated a link to create stack "ABC" using template Template1.
• ​I generated a link to create stack "ABC", with a slightly modified template Template2.
• What happens is that Cloudformation creates the first "ABC" stack based on Template1, but then complains that the "ABC" stack already exists when trying to create a stack with the same name using Template2.
• I kind of expected this behavior, but I assumed that -- since stack names are unique -- that it would offer to apply updates instead of trying to create (and fail) to create the stack.