Daisy, only as good as its master
Let's face it, Daisy is the ONLY summon in the entire game, in which it will follow it's master straight to its grave. Full HP? But wait, master just died, off to the grave! Please tell me if this Is this a soon-to-be revamped anytime soon? Because I'm sure it's well deserved in this case. Especially after getting hit with those HP nerfs, Daisy only remains solid until you disappear off the map. Let's take a look at the contributing facts from multiple pet examples below:
Yorick, not only can this dude's mist walker stay alive after he dies, it raises it's own army and split pushes.
Shaco, it's clone continously applying on hit-effects after dying, while exploding into a final trio jack in the lanterns applying fear and damage.
Annie, you got Tibbers. A maniacal bear in which becomes frenzied upon your death. Running at the speed of a volibear while generously clawing your eyes out.
Mordekaiser, his pet may not stay alive, but take a look at the significance it applies. Drake, a pet that not only hoses down fire, which lasts much longer than Daisy, or any other pet, that it wouldn't even matter if it was reincarnated or had an after-death niche.
Not saying Daisy needs to copy those particular after-death abilities, but a death niche would make it less unfortunate, to have to see an entire rock get turned to rubble.
What a waste.