The absolute absurdity of TV Licensing in the UK

It is an offence under section 363 of the Communications Act 2003 to watch live on any channel, TV service or streaming service, or use BBC iPlayer* on any device, without a valid TV Licence. Section 365 of that Act requires a person to whom a TV Licence is issued must pay a fee to the BBC.

https://www.tvlicensing.co.uk/about/foi-legal-framework-AB16

So under my understand of that law it would be an offence to watch Parliament Live via their website https://parliamentlive.tv as it is also being broadcast LIVE on news channels and BBC Parliament channel. However, when petitioned about this, HM Goverment rejected the petition stating :

It’s about something that the UK Government or Parliament is not directly responsible for.

It is possible to watch Parliament without a tv licence on

http://www.parliamentlive.tv/Main/Home.aspx

We only reject petitions that don’t meet the petition standards.

https://petition.parliament.uk/archived/petitions/71263

Surely Parliament TV is a streaming service? So if HM Government aren’t responsible for the Communications Act 2003, who is responsible?!?