Flac is listed (under audio container rather than codec, but since it's alongside APE, so the only reasonable interpretation is that they support those codecs).

This seems to be a copy-pasted list of what the chipset supports. Opus is new enough to not really be on those kind of spec sheets, and as an audio codec shouldn't really trouble something with the specs of this. Theora can probably also be done in software, but generally there's no reason to use it these days over VP8.