The video quality is the same as the Apple TV, but the audio quality unfortunately isn't. The video supports up to 4K Dolby Vision when streaming iTunes content via AirPlay 2 on the LG C9, but audio is limited to 384Kbps Dolby Digital 5.1. So you lose Dolby Digital Plus 7.1 and Atmos, which streams at up to 768Kbps (and is a more efficiant, higher quality codec beyond just pure bitrate improvements) on the Apple TV for some content.
I would actually argue that the video looks even better via AirPlay 2, because some titles with Dolby Vision have raised black levels when played on an LG OLED via the Apple TV, but playing the back via AirPlay 2 results in proper inky blacks.
are you sure about all that? from everything I've seen airplay is only 1080 SDR at max.
Itunes content probably streams directly from apple as opposed to air playing. (airplay has the feature to send file locations instead of the actual file)
every other app that can play HDR on my phone, I've tired, and they all come out SDR
I would argue you're doing something wrong then.
make sure you have everything configured correctly,
you need to enable HDR on a port by port basis on the LG. although in just testing mine, if you try to send HDR to a non-enabled port, the TV prompts you to enable.
you want to enable range and frame rate in match content.
make sure your aTV is in 4:4:4 chroma
and you have a decent quality HDMI cable, doesn't have to be expensive, just not a cheap one.
also the LGs have different video settings (brightness, contrast, motion smoothing, etc...) for each type of signal (sdr, HDR, and dolby)
so if you set up the picture like you want it for SDR,and then play HDR, you need to re-adjust those settings.