TV Tropes calls that an Interquel. It's a sequel to one thing but a prequel to something else.I have to agree with the definition of 'prequel' for this franchise being before TOS.
The only exception I might make is if a series is set after GENERATIONS and before TNG. ('The Lost Era', basically.) Depending on how close you set it to either side, it would have potential to be a prequel or a sequel.
Interquel - TV Tropes
Personally, I consider anything that takes place before "the original" of any franchise to be a prequel. If it's a new entry that takes place after "the original" but before a sequel, I'd call it an "interquel".
If we get a lot more of the 32nd Century and they stop making 24th/25th Century series, I'll change my definition of what I think of as "the present" for Star Trek. I discovered Star Trek in 1991, through the movies. I thought of it as "the present" and TNG as "the future". It definitely looked that way to me with the way they promoted TNG on the VHS Tape for TVH. Anyone of a certain age will know exactly what I'm talking about.
Then the TOS Movies stopped, TNG continued, and both DS9 and VOY took place during TNG's era, so it made sense to switch to thinking of the 24th Century as "the present". On top of that, it helped that TNG's episode count surpassed TOS's episode count a little bit earlier, so there was now more of the 24th Century than the 23rd. We're not there with the 32nd Century.
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