I would like to know this as well because I bought the Bose system for the same purpose & the bose seller even said TV sound shared would be possible 😞 Plus I believe even the bose marketing material is not clear & misinforming on this area .. it says sharing sound wirelessly .. not Music only ! TV & Music is both sound ... and a Soundbar is mainly used with TV .. so Sharing TV sound would be normally expected when a soundbar shares sound wirelessly .
Please fix this urgently ! One can share TV sound via bluetooth with Soundbar and Soundtouch 10 in play all ... but the Bluetooth lag vs TV is just terrible !!