Quickly? We did four entire novels exploring the lengthy recovery process the characters went through in the wake of Destiny -- a sequence that we referred to informally as "Cleaning Up Mack's Mess." There was one for the TNG crew (Losing the Peace), one for the Aventine (A Singular Destiny), one for Voyager (Full Circle), and one for Titan (Over a Torrent Sea). The first three of those all covered a span of slightly over two months following the end of Destiny (indeed, all ended within days of each other), and the bulk of OaTS took place four to five months after Destiny, with the characters still struggling with its emotional impact. And the personal and political ramifications of Destiny have continued to resonate through the novels ever since.
Might have just been me being weird, but I did feel like it was a fairly quick. Perhaps due to the fact that I read it all in short succession...
They all came out soon after
Destiny, of course, so did feel quick perhaps. And the big jumps in time in subsequent novels and the appearance of new 'big' events like
Typhon Pact (with its own socio-economic focus),
Cold Equations and
The Fall maybe overwrote the raw impact of
Destiny on the characters with new threats (even if sometimes this was continuous). Really
Destiny was 7 years ago, and it does feel forgotten, even if it shouldn't and gets call backs every so often - because so much has happened also 'in-world' since 2381. Heck I'd say
The Fall needs more follow up to - the president was assassinated and the state nearly became a pseudo-fascist federation and Andor came back and Cardassia is in a state of massive change etc - and it doesn't quite feel like it has yet. And it's been 2 1/2 years since it was published. Maybe DRG has done some of this, but in a very minute, tight-band focus. The 24th century has felt so ... stuck, after years of jumping ahead and not doing in-depth ramifications of a huge event (in the way there was so much dedicated essentially to the ramifications of the Dominion War through the DS9R, the entry of Bajor, the Trill thing, etc), even if it isn't & individual authors are doing these writings.
But arguably, to return to the original point,
The Fall followed on
Destiny by presenting a militarised Starfleet conditioning in a post-63 billion dead world. More so, Kirsten's
Voyager novels continue to deal with the ramifications of
Destiny, in part because of their lack of big time jumps. It's still so raw, and showing in great detail the impact of that loss and the feeling of tremendous vulnerability amongst so many characters after such a trauma.