Upvote, downvote, I don't care. I really would like to see sqllite removed as a synonym for sqlite. Yes, SQLite is a little tricky, but sqllite is not a legitimate name for the product. By the way, I am asking this as someone with under 2500 reputation.
If you think that a synonym tag should not be used, then you can post here.
I think you misunderstood the purpose of synonym tags.
When a tag is set as synonym of another tag, the first tag is replaced by the second tag in all the questions where the tag is used. In your case, if you use sqllite in a question, when you save the question you are asking, you will notice that the question is being tagged sqlite.
Setting a synonym tag doesn't mean to consider it correct; quite the opposite, it means to mark the synonym tag as less preferable or not correct.
That's actually why it's a synonym.