Eh, I don't really think there is anything fundamentally wrong with the story structure of "previous generation/establishment made some major mistakes, and the next generation has to fix them." That's a pretty standard story device, especially in the Hero's Journey arc. The Mentor character is often the guy who survived the previous screw up, is broken and defeated as a result, and is reluctantly convinced to come back into service by the optimism and hope of the protagonist and their plucky band. They then usually do one last heroic thing, often at the cost of their life, officially passing the torch onto the younger protag.Yeah, Empire certainly did break the themes and feel of the first movie, didn't make a lot of sense, had most characters waste their time getting chased while one character gets training for what, maybe a week? Probably 2 to 3 days. That sure will make him a master. Made you realise that Obi-wan is an asshole for lying and sending 1 jedi against the whole Empire despite him hiding away because he's a coward. Yodas a coward, 'sure I'll train you but I definitely wont fight WITH you.' Great job Jedi. Your making old Luke look good.
So to me, there isn't anything wrong with how Empire set things up, because a million stories have done that similar premise. The issue that made the new trilogy difficult to handle, to me at least, is twofold.
1. Return ended with a "Happily Ever After" ending. This isn't fundamentally a problem, as new generations come into play, new problems arise, and a new Big Problem is perfectly logical to have happen. But to me, the problem they had, was due to point 2.
2. They tried to tie it all back to the original trilogy. Instead of just making a new set of characters with their own stories, they were compelled to shoe horn in the ties to the original trilogy. They felt compelled, due to the nerdosphere that has funneled billions of dollars into the franchise frothing at the mouth, to drag the geriatric actors back into service, because if they didn't do that, the angry nerd mob would've tried to raze Disney to the ground. So they had to make (some really bad) links to the original characters. Some worked, some didn't, and the story arcs they felt were the way to go with the conclusion of the story, just fell flat.
If they had just made a clean cut, maybe establish some familial links to the OT cast, but not have it be the key plot element, but just a case of next generation working, it would've been fine, to me at least. But no, they had to link back on every level they could conceive, even literally resurrecting characters that had been established as gone in previous stories, just so they can have another tie back to the OT.
I still think FA and TLJ are perfectly fine films, but Rise just sort of shit the bed on a lot of levels. It doesn't make me retroactively hate the original films or anything though, because that kind of thinking is just silly.