It is well-known that creating a synonym and merging two tags are two completely independent actions1 - sometimes a synonym is created and the tags aren't merged, sometimes two tags are merged without creating a synonym between them.
The tag synonyms which aren't merged are quite common. What are the consequences for regular users? What do they have to keep in mind when using tags which are synonymized but not merged?
It is a bit unclear to me how actually the synonyms behave w.r.t. to searching. At the very least, I can tell from past experience that the results when searching for some phrase with [master-tag] and with [synonym] are not always the same. And sometimes the question does not appear neither when searching with the master tag nor when searching with the synonym.2
Without merging, various counts and scores are still calculated for the two tags separately. For example, this influences the list of top users and, consequently, whether a user gets a gold badge and the dupehammer. Moreover, the dupehammer in the master tag does no apply to questions tagged only with the synonym.3
Are there some other things which affect some use cases for tags other than the above? Is some of the information stated above incorrect?
1See the FAQ post: What are tag synonyms and merged tags? How do they work? The answer posted here explains merging quite well, too: What is the difference between a synonym and merging a tag?
2See, for example, here: Tag synonyms and searching
3As mentioned here: How does tag synonym affect top users list?, Which questions count for the purpose of tag badges and dupehammer for the tag synonyms? and Gold-badge duplicate hammers don't appear to check tag synonyms as far as I can tell; is this so, and should it be fixed if so?