To be honest, out of all 3 games, Banjo Kazooie was my least favorite, but not in the bad either.
And I don't think a lot of people agree that DK64 was "bad"..
Donkey Kong 64 was great in it's own style (Maybe a little less non-fun tasks would be fine), and I think it's my favorite game of the N64. - It's probably because there was so much to do, and so much ways to find stuff, and there was a lot of personal favorites I liked about it.
Though maybe it had too much collectibles, but I did like it was still over the basic 100 coin/notes search and for the main items, maybe 300 would of been better?
For Yooka-Laylee, I think I would rather have it as Banjo Tooie, in terms of how big it was, the connections, etc..
I do however want a game like Donkey Kong 64, and there are many fans (I may be wrong) who wants that too.
I don't think YL would be the right fit for DK64, so I would personality avoid this and I do think it shouldn't have too much collectibles for this game either. Though, I don't want a world empty either.
The reason why I prefer Banjo Tooie way over Banjo Kazooie was that Banjo Kazooie was very small, and each level was always 'separated'. While Banjo Tooie had bigger levels, felt very open, connected, awesome quests for jiggies, etc.
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As for the minigames, I personality liked either way sort of, and did like DK64's better because I prefer a new place sometimes. I do think for way random, it's just something that can be more 'magic'.. Like it doesn't need to be part of the world to be good.. I guess it's all subjective, so I do think maybe they should add some for those fans and focus more on the way Banjo Tooie went by, including Banjo Kazooie.

Edit again: I read the whole post. I understand too. xD However, I still stand, perhaps I don't think it's a bad thing to add some stuff that pleases those kinds of fans (e.g. A random arcade machine). Perhaps don't make it too much like DK64 like you said, but I do like to have some random minigames similar to DK64 and the minecart, as I really loved the minecart part. I think it's that many people love different kinds of things, so that's why I give the idea of having all. Haha