Google also opted to pull out of China instead of selling their Chinese operations to a domestic company. Does it imply that Google had interests beyond financial when operating in China?

I think it's more likely that they don't want the brand name dilution that comes from having a separate TikTok US that's probably going to be a shittier version of the original since it doesn't have the original algorithm (which isn't allowed to be exported) or the original TikTok engineers working on it.