I have a google chromecast (w GoogleTV) and the UI and lag is becoming a nuisance.
With Apple TV, do you get apps like Twitch and YouTube? Do livestreams work well? The most common apps I use are Twitch and YouTube but also Max, Netflix, Crunchyroll and Amazon Video.
I don’t know what Crunchyroll is but all the other services you mentioned have dedicated apps on Apple TV. I watch quite a bit of Youtube and sometimes something on Twitch and it works great. I have zero lag on the Apple TV.