After reading the answers to What is the distinction between "among" and "amongst"?, I realize there are no dictionary differences between the words and most would consider "amongst" a bit archaic. However, the following example seems to suggest there are at least contextual ambiguities that can arise if we use the words interchangeably.
Let’s discuss the issues among the departments.
Let’s discuss the issues amongst the departments.
The first sentence using among means there are issues between departments. The second sentence using amongst means we want to talk to the departments about the issues. - source: from the comments
Is this explanation correct, or are the proposed differences presenting a false sense of clarity where "issues" remains ambiguous regardless of using "among" or "amongst?"