Here's a close notice from a question that was closed with multiple off-topic (community-specific) close reasons, relating to only one specific network site and no longer reproducible:
(For context, a given community-specific reason shows on a question if two or more users or a moderator voted for it, meaning that if two voters picked one and 2-3 others or a moderator picked another, both will show.)
The "site-specific" close reason was recently revamped to use the new five-field system, where different text is shown in the body of the notice for post authors (how to fix one's own question) and privileged users (how to help the author). In the case where only one community-specific reason is shown, the heading line at the top will get its text from a third one of those five fields, which in this case is:
This question is only applicable to one specific site on the Stack Exchange network. It is not currently accepting answers.
For the case where there are multiple reasons, or where the single reason hasn't yet been revamped to use the new five-field system (or never will be because it's a retired - no longer selectable - reason), the heading will default to a generic "This question is off-topic" notice.
In many cases, the post author guidance or privileged guidance is phrased to depend on this heading line for context, and doesn't make sense without it, such as the privileged user guidance for the "site-specific" reason here. This can, however, create out-of-context, seemingly nonsensical explanations if the notice doesn't show the heading line, such as if there are multiple reasons. Basically, it's describing how to fix a problem, but not giving any info as to what the problem is.
To solve this problem, I propose that if a question is closed for multiple community-specific reasons, the heading line should be shown in the bullet for each revamped reason, in a paragraph above the post author guidance or privileged user guidance. Here's a mockup:
(The "no longer reproducible" reason has also been revamped, but the text for the guidance fields was simply copied from the original one-field reason. I've left it as is so it can reflect as a mockup for both a revamped reason and a non-revamped reason.)
I know that some talk about changing how questions with multiple reasons are shown will inevitably come up, so I'll address it now. I think it's important to retain the ability to have multiple reasons, especially since multiple can apply to one question. As an example, the above notice is taken from a question reporting an ephemeral issue with Stack Overflow Careers: it's both no longer reproducible (on SO), and site-specific to SO. Also, even if things are later changed for future closures, what about earlier closures?