Those tags do not identify a genre
And that's incredibly important!
Unlike almost every other tag on Main, which scope the question, the science-fiction, science-based and hard-science tags scope the answer. They identify how much effort the respondent should be putting into justifying their answer is correct.
hard-science answers must prove beyond a shadow of a doubt that they are correct using current science. Using this solution would not incur the wrath of any practitioner of the art.
Can my FTL design actually exist? NO. There is no science that supports it's eventual engineering.
science-based answers needn't prove they're right, but are expected to use current science to rationalize a solution. "Speculative science" falls within this scope. Using this solution might incur some wrath from practitioners of the art, generally those who believe everything should be hard-science or fantasy, or perhaps those who are basing their next research funding grant on an opposing theory.
Can my FTL design actually exist? POSSIBLY. There are mathematical models that suggest that the design can be achieved even though there's no science or engineering that tells us how to build it. So, use it at will, but we recommend avoiding details about how it works.
science-fiction answers are more artistic, almost technobabble, using science as the springboard for a more fantastic solution that meets the expectation of suspension of disbelief. Answers are more along the lines of the "what if?" thought exercises that embrace the possibility of today's science being incomplete or simply wrong. Using this solution without a great story behind it is almost sure to cause MIT students to chant something like "The Ringworld Is Unstable!" at some Comic-Con convention.
Can my FTL design actually exist? YES! In your imaginary world it CAN exist and has enough science behind it to make the world fresh and enjoyable even though a quick Google search will demonstrate the science doesn't actually exist.
In the end, it's the post owner's choice to use one or the other of those tags and how the choice is made depends on the kind of information they're looking for in the answers. If we, members of the community, think the tag choice was inappropriate, that's the purpose of comments (asking if a change is appropriate). We shouldn't be making arbitrary changes unless we're sure a mistake has been made (such as removing internal-consistency because they didn't read the wiki, aren't following the wiki's rules, and aren't asking an IC question... I always leave a comment explaining why I removed it).
And a quick summary of the internal-consistency tag's history
Once upon a time there was a tag named "reality check." The intent of that tag as explained in its wiki was to test the reality of a worldbuilding idea against the existing rules of that imaginary world (sound familiar?). In other words, the "reality" was that of the OP's imaginary world and the check was against that fictional reality, never the Real World.
But, since people don't read tag wikis, it was inevitably (and most often) used to ask questions along the lines of "here's my ridiculous idea, can it exist in the Real World?"
The abuse was so bad that I had a lengthy discussion here in Meta, the result of which was renaming "reality check" internal-consistency, even though there were a bazillion questions for which the tag no longer made sense (they were mis-tagged in the first place, but people who don't read wikis didn't realize that).
The abuse has dropped considerably. The reason it's exclusive to the "science-" tags is that it has one very specific purpose and a whole set of just as specific rules that go with it. One cannot have an answer scoped by the "science-" tags to it since the goal is an analysis against the presented rules of the OP's imaginary world. In short, that tag has absolutely nothing at all to do with science, no matter what the post reads like.
ONE MORE WORD!
I am absolutely against updating meta post titles with things like the date of the post (as you did with the aforementioned internal-consistency discussion). That's far more likely to cause people to believe that, due to age, the policy doesn't apply when that is entirely false.
Please stop what you're doing and let's have a community discussion about your project and its goals. That has started from a certain point of view here. As a basic rule-of-thumb, don't modify other people's posts without either their individual permission or the consensus of the community.