Made a video, sorry if you can't see Ryze's actual movement speed getting slowed but it should be clear from the visual FX, or lack there of, that he is not being slowed by Daisy auto attacks.
https://www.youtube.com/watch?v=C0OxCle2FFw
Edit: I don't remember when I noticed this 'glitch' but I'm pretty sure this has been since release so... 13 days and counting.
Very Hard Engage1 voteswell im sure its because her auto attacks aren't modified in any way. it also does all physical damage. her knockup does apply some magical damage from what i can see.
(side note that ivern with empowered brush does proc rylais with his autos)
KoKoboto1 votesRioter's Post: http://boards.na.leagueoflegends.com/en/c/gameplay-balance/rsmVr3jQ-why-doesnt-daisy-apply-rylais-slow
Also I addressed how this is a bug or a CLARITY issue, I feel Daisy is probably the easiest thing in league to categorize as a Pet. I normally don't care about clarity but things like this (if it's truly intended not to slow) and old winderspeakers varying descriptions are stupid
Very Hard Engage1 votes#as we see in the video, daisy does apply rylais
just not in the way you expect it too.
Riot Scruffy - "She does apply it."
doesn't say on her auto attacks.
KoKoboto1 votesIn the other post I also talked about how Daisy applying Rylais on flower power is pointless because the knockup lasts for the same amount of time the slow does. Also I tried Rylai's on Yorick after you mentioned how Daisy does physical damage thus should not apply Rylais. Well the mist walkers didn't apply Rylai's which I expected kinda but the Mist Maiden also didn't apply Rylai although she deals magic damage. Of course you won't find AP Yorick around all too often but Mist Maiden is also a pet which does magic damage so it should apply Rylai's.
This is a clarity issue or bug to me still and I feel it needs to be addressed
Toastersaot1 votesIt's because Daisy's autos are Attack Damage, and the Rylai's slow for AoE is 1 second, while the Daisy knock up that is part magic damage is also 1 second. Besides, Ivern should not need Rylai's with how much CC is in his kit, even if it is very cost efficient. It also won't matter as much after the 
changes coming soon.
KoKoboto1 votesIn my other thead I discussed that whilst Ivern does have potentially really high CC, Daisy herself doesn't. I won't repeat myself here unless you want me too. However I feel this needs to be addressed as either a bug or clarity issue.
Darkslayer851 votesTibbers procs it though.
MunchCrunchLunch1 votestibbers does aoe magic damage doesn't he?
Darkslayer851 votesHis autos do too.
Eedat1 votesProbably because they're coded as AAs and not spell damage
GULAG 4 U1 votesNo pls
Limrick1 votesWhy would you even want that?