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There are a number of problems with this:
1) There were no flashbacks in season 8. There was one flashback featuring Kochanski in season 7, which was to the parallel universe the Chloe Annett Kochanski was meant to be from anyway.
2) It's not especially clear that the parallel universe thing was meant to explain why she looked different, rather than simply why she wasn't dead; Lister recognises her straight away, suggesting that, in-universe, she just looks like Kochanski. The aforementioned flashback is arguably meant to be the point where the universes diverge.
3) While Grogan is Scottish and Annett isn't, the first (and only) reference to Kochanski's Glaswegian background is the season 7 episode "Duct Soup", where Annett claims in her cut-glass accent that she was "brought up in the trendiest part of Glasgow". Which is ridiculous, but again doesn't suggest they were using the parallel universe thing to claim this Kochanski was English. I'm not sure where the idea Claire Grogan Kochanski was from a poorer background comes from at all.
4) In her initial appearance, at least, Chloe Annett Kochanski isn't blonde.
How does The Other Jennifer sound as an alternate name, because it's a sister trope to The Other Marty?
It sounds completely meaningless to me, honestly.
Not sure about saying Farscape and TNG "couldn't be bothered to" recreate Season One makeup - I don't know about Farscape but in TNG we were supposed to pretend Worf had always looked like this. Recreating the original forehead for flashbacks would have made it look like his forehead had actually changed in-story, which wasn't meant to be the case.
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How well does it match the trope?