If anyone is distributing it within Illinois jurisdiction (or maybe even distributing it elsewhere while maintaining a business presence in Illinois), they could be at risk of qualifying as an operating system provider under Illinois law.
Some oddball Linux distro really has no relevance to the larger picture that lawmakers are trying to accomplish though. The vast majority of kids are using iphone/android/mac/chromebook/windows. Basically zero are using esoteric container images to access TikTok.
The ability to receive specifically unsolicited DMs from adult strangers?
Opting in to behavioral tracking?
This bill doesn't block social media for kids... I expect their response to be simply that they keep using social media on their phone the way they already do.