I would therefore like a formal response from Virgin about if any of the above are available on the 360 or if there is a road map to introduce them
You'll be waiting for a long time. TiVo-firmware was designed around a recording-first world, and for many years VM chose to licence the software for their TV boxes - thus streaming and other functions have been added over the years.
The broadcasters are now moving in a different direction, encouraging streaming & online-first, and this VM's parent company is encouraging TV360 as the way forward. The platform is fundamentally different to TiVo, and thus has many pros & cons in the feature set.
The T&Cs make no reference to specific features of TV boxes, and are worded to cover the addition & removal of broadcast content, thus you'll have an uphill struggle making an argument that TV360 is some kind of a breach.
My only bit of intrugue here, is the specific circumstances around which your TiVo was swapped out for a TV360. The guidance as far as we're made aware, is that TiVo-boxes are swapped out for V6 as a matter of course - which also run TiVo-firmware. You should reasonably expect field techs to mention a conversion to TV360 as an alternate course of action, but at least with a basic explanation of the differences. The rest, would fall under standard buyer-beware.